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Finding the Fourth Proportional to 2,782.76, 3,840.42 and 1,678.76

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Solution

The fourth proportional to 2,782.76, 3,840.42 and 1,678.76 is: 2,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.76 : 3,840.42 = 1,678.76 : x
  2. Step 2: Convert to fraction form
    2,782.76/3,840.42 = 1,678.76/x
  3. Step 3: Cross multiply
    2,782.76x = 3,840.42 × 1,678.76
  4. Step 4: Simplify right side
    2,782.76x = 6,447,143.48
  5. Step 5: Solve for x
    x = 6,447,143.48/2,782.76
  6. Step 6: Final answer
    x = 2,316.82

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.