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Finding the Fourth Proportional to 8,957.16, 12,356.58 and 7,713

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Solution

The fourth proportional to 8,957.16, 12,356.58 and 7,713 is: 10,640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957.16 : 12,356.58 = 7,713 : x
  2. Step 2: Convert to fraction form
    8,957.16/12,356.58 = 7,713/x
  3. Step 3: Cross multiply
    8,957.16x = 12,356.58 × 7,713
  4. Step 4: Simplify right side
    8,957.16x = 95,306,301.54
  5. Step 5: Solve for x
    x = 95,306,301.54/8,957.16
  6. Step 6: Final answer
    x = 10,640.24

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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.