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Finding the Fourth Proportional to 10,663.54, 15,987.04 and 7,147.91

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Solution

The fourth proportional to 10,663.54, 15,987.04 and 7,147.91 is: 10,716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.54 : 15,987.04 = 7,147.91 : x
  2. Step 2: Convert to fraction form
    10,663.54/15,987.04 = 7,147.91/x
  3. Step 3: Cross multiply
    10,663.54x = 15,987.04 × 7,147.91
  4. Step 4: Simplify right side
    10,663.54x = 114,273,923.09
  5. Step 5: Solve for x
    x = 114,273,923.09/10,663.54
  6. Step 6: Final answer
    x = 10,716.32

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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.