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Finding the Fourth Proportional to 8,637, 12,957.06 and 5,717.72

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Solution

The fourth proportional to 8,637, 12,957.06 and 5,717.72 is: 8,577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,637 : 12,957.06 = 5,717.72 : x
  2. Step 2: Convert to fraction form
    8,637/12,957.06 = 5,717.72/x
  3. Step 3: Cross multiply
    8,637x = 12,957.06 × 5,717.72
  4. Step 4: Simplify right side
    8,637x = 74,084,841.10
  5. Step 5: Solve for x
    x = 74,084,841.10/8,637
  6. Step 6: Final answer
    x = 8,577.61

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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.