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Finding the Fourth Proportional to 7,470.68, 11,208 and 6,654.56

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Solution

The fourth proportional to 7,470.68, 11,208 and 6,654.56 is: 9,983.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.68 : 11,208 = 6,654.56 : x
  2. Step 2: Convert to fraction form
    7,470.68/11,208 = 6,654.56/x
  3. Step 3: Cross multiply
    7,470.68x = 11,208 × 6,654.56
  4. Step 4: Simplify right side
    7,470.68x = 74,584,308.48
  5. Step 5: Solve for x
    x = 74,584,308.48/7,470.68
  6. Step 6: Final answer
    x = 9,983.60

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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.