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Finding the Fourth Proportional to 7,663.20, 11,489.40 and 2,981.40

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Solution

The fourth proportional to 7,663.20, 11,489.40 and 2,981.40 is: 4,470.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.20 : 11,489.40 = 2,981.40 : x
  2. Step 2: Convert to fraction form
    7,663.20/11,489.40 = 2,981.40/x
  3. Step 3: Cross multiply
    7,663.20x = 11,489.40 × 2,981.40
  4. Step 4: Simplify right side
    7,663.20x = 34,254,497.16
  5. Step 5: Solve for x
    x = 34,254,497.16/7,663.20
  6. Step 6: Final answer
    x = 4,470.00

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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.