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Finding the Fourth Proportional to 2,185.78, 3,278.21 and 799.77

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Solution

The fourth proportional to 2,185.78, 3,278.21 and 799.77 is: 1,199.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.78 : 3,278.21 = 799.77 : x
  2. Step 2: Convert to fraction form
    2,185.78/3,278.21 = 799.77/x
  3. Step 3: Cross multiply
    2,185.78x = 3,278.21 × 799.77
  4. Step 4: Simplify right side
    2,185.78x = 2,621,814.01
  5. Step 5: Solve for x
    x = 2,621,814.01/2,185.78
  6. Step 6: Final answer
    x = 1,199.49

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,186.78, 3,279.71 and 800.77
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.