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Finding the Fourth Proportional to 19,689.12, 27,171.12 and 10,737

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Solution

The fourth proportional to 19,689.12, 27,171.12 and 10,737 is: 14,817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,689.12 : 27,171.12 = 10,737 : x
  2. Step 2: Convert to fraction form
    19,689.12/27,171.12 = 10,737/x
  3. Step 3: Cross multiply
    19,689.12x = 27,171.12 × 10,737
  4. Step 4: Simplify right side
    19,689.12x = 291,736,315.44
  5. Step 5: Solve for x
    x = 291,736,315.44/19,689.12
  6. Step 6: Final answer
    x = 14,817.13

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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.