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Finding the Fourth Proportional to 10,491, 15,739.20 and 3,917.23

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Solution

The fourth proportional to 10,491, 15,739.20 and 3,917.23 is: 5,876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491 : 15,739.20 = 3,917.23 : x
  2. Step 2: Convert to fraction form
    10,491/15,739.20 = 3,917.23/x
  3. Step 3: Cross multiply
    10,491x = 15,739.20 × 3,917.23
  4. Step 4: Simplify right side
    10,491x = 61,654,066.42
  5. Step 5: Solve for x
    x = 61,654,066.42/10,491
  6. Step 6: Final answer
    x = 5,876.85

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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.