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Finding the Fourth Proportional to 10,657.90, 15,991.45 and 5,721.77

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Solution

The fourth proportional to 10,657.90, 15,991.45 and 5,721.77 is: 8,585.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.90 : 15,991.45 = 5,721.77 : x
  2. Step 2: Convert to fraction form
    10,657.90/15,991.45 = 5,721.77/x
  3. Step 3: Cross multiply
    10,657.90x = 15,991.45 × 5,721.77
  4. Step 4: Simplify right side
    10,657.90x = 91,499,398.87
  5. Step 5: Solve for x
    x = 91,499,398.87/10,657.90
  6. Step 6: Final answer
    x = 8,585.12

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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.