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Finding the Fourth Proportional to 14,498, 19,857.32 and 13,646.88

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Solution

The fourth proportional to 14,498, 19,857.32 and 13,646.88 is: 18,691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,498 : 19,857.32 = 13,646.88 : x
  2. Step 2: Convert to fraction form
    14,498/19,857.32 = 13,646.88/x
  3. Step 3: Cross multiply
    14,498x = 19,857.32 × 13,646.88
  4. Step 4: Simplify right side
    14,498x = 270,990,463.16
  5. Step 5: Solve for x
    x = 270,990,463.16/14,498
  6. Step 6: Final answer
    x = 18,691.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.