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Finding the Fourth Proportional to 5,104.71, 7,657.11 and 1,641.96

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Solution

The fourth proportional to 5,104.71, 7,657.11 and 1,641.96 is: 2,462.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.71 : 7,657.11 = 1,641.96 : x
  2. Step 2: Convert to fraction form
    5,104.71/7,657.11 = 1,641.96/x
  3. Step 3: Cross multiply
    5,104.71x = 7,657.11 × 1,641.96
  4. Step 4: Simplify right side
    5,104.71x = 12,572,668.34
  5. Step 5: Solve for x
    x = 12,572,668.34/5,104.71
  6. Step 6: Final answer
    x = 2,462.95

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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.