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Finding the Fourth Proportional to 12,862, 17,737.38 and 8,389.18

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Solution

The fourth proportional to 12,862, 17,737.38 and 8,389.18 is: 11,569.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862 : 17,737.38 = 8,389.18 : x
  2. Step 2: Convert to fraction form
    12,862/17,737.38 = 8,389.18/x
  3. Step 3: Cross multiply
    12,862x = 17,737.38 × 8,389.18
  4. Step 4: Simplify right side
    12,862x = 148,802,073.55
  5. Step 5: Solve for x
    x = 148,802,073.55/12,862
  6. Step 6: Final answer
    x = 11,569.12

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1.5x scale

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.