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Finding the Fourth Proportional to 19,891.70, 29,899.54 and 12,543.38

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Solution

The fourth proportional to 19,891.70, 29,899.54 and 12,543.38 is: 18,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,891.70 : 29,899.54 = 12,543.38 : x
  2. Step 2: Convert to fraction form
    19,891.70/29,899.54 = 12,543.38/x
  3. Step 3: Cross multiply
    19,891.70x = 29,899.54 × 12,543.38
  4. Step 4: Simplify right side
    19,891.70x = 375,041,292.05
  5. Step 5: Solve for x
    x = 375,041,292.05/19,891.70
  6. Step 6: Final answer
    x = 18,854.16

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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.