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Finding the Fourth Proportional to 10,585.74, 15,888.95 and 5,042.91

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Solution

The fourth proportional to 10,585.74, 15,888.95 and 5,042.91 is: 7,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.74 : 15,888.95 = 5,042.91 : x
  2. Step 2: Convert to fraction form
    10,585.74/15,888.95 = 5,042.91/x
  3. Step 3: Cross multiply
    10,585.74x = 15,888.95 × 5,042.91
  4. Step 4: Simplify right side
    10,585.74x = 80,126,519.63
  5. Step 5: Solve for x
    x = 80,126,519.63/10,585.74
  6. Step 6: Final answer
    x = 7,569.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.