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Finding the Fourth Proportional to 7,447.87, 10,278.13 and 4,090.75

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Solution

The fourth proportional to 7,447.87, 10,278.13 and 4,090.75 is: 5,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.87 : 10,278.13 = 4,090.75 : x
  2. Step 2: Convert to fraction form
    7,447.87/10,278.13 = 4,090.75/x
  3. Step 3: Cross multiply
    7,447.87x = 10,278.13 × 4,090.75
  4. Step 4: Simplify right side
    7,447.87x = 42,045,239.84
  5. Step 5: Solve for x
    x = 42,045,239.84/7,447.87
  6. Step 6: Final answer
    x = 5,645.27

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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.