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Finding the Fourth Proportional to 19,732.57, 27,230.49 and 10,780.11

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Solution

The fourth proportional to 19,732.57, 27,230.49 and 10,780.11 is: 14,876.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732.57 : 27,230.49 = 10,780.11 : x
  2. Step 2: Convert to fraction form
    19,732.57/27,230.49 = 10,780.11/x
  3. Step 3: Cross multiply
    19,732.57x = 27,230.49 × 10,780.11
  4. Step 4: Simplify right side
    19,732.57x = 293,547,677.55
  5. Step 5: Solve for x
    x = 293,547,677.55/19,732.57
  6. Step 6: Final answer
    x = 14,876.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.