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Finding the Fourth Proportional to 8,663.07, 12,982.62 and 4,957.47

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Solution

The fourth proportional to 8,663.07, 12,982.62 and 4,957.47 is: 7,429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.07 : 12,982.62 = 4,957.47 : x
  2. Step 2: Convert to fraction form
    8,663.07/12,982.62 = 4,957.47/x
  3. Step 3: Cross multiply
    8,663.07x = 12,982.62 × 4,957.47
  4. Step 4: Simplify right side
    8,663.07x = 64,360,949.17
  5. Step 5: Solve for x
    x = 64,360,949.17/8,663.07
  6. Step 6: Final answer
    x = 7,429.35

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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.