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Finding the Fourth Proportional to 12,136.44, 16,753.47 and 8,159.87

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Solution

The fourth proportional to 12,136.44, 16,753.47 and 8,159.87 is: 11,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.44 : 16,753.47 = 8,159.87 : x
  2. Step 2: Convert to fraction form
    12,136.44/16,753.47 = 8,159.87/x
  3. Step 3: Cross multiply
    12,136.44x = 16,753.47 × 8,159.87
  4. Step 4: Simplify right side
    12,136.44x = 136,706,148.53
  5. Step 5: Solve for x
    x = 136,706,148.53/12,136.44
  6. Step 6: Final answer
    x = 11,264.10

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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.