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Finding the Fourth Proportional to 7,454.28, 10,287 and 4,097.46

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Solution

The fourth proportional to 7,454.28, 10,287 and 4,097.46 is: 5,654.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.28 : 10,287 = 4,097.46 : x
  2. Step 2: Convert to fraction form
    7,454.28/10,287 = 4,097.46/x
  3. Step 3: Cross multiply
    7,454.28x = 10,287 × 4,097.46
  4. Step 4: Simplify right side
    7,454.28x = 42,150,571.02
  5. Step 5: Solve for x
    x = 42,150,571.02/7,454.28
  6. Step 6: Final answer
    x = 5,654.55

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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.