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Finding the Fourth Proportional to 10,484.52, 15,729.50 and 3,910.75

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Solution

The fourth proportional to 10,484.52, 15,729.50 and 3,910.75 is: 5,867.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.52 : 15,729.50 = 3,910.75 : x
  2. Step 2: Convert to fraction form
    10,484.52/15,729.50 = 3,910.75/x
  3. Step 3: Cross multiply
    10,484.52x = 15,729.50 × 3,910.75
  4. Step 4: Simplify right side
    10,484.52x = 61,514,142.13
  5. Step 5: Solve for x
    x = 61,514,142.13/10,484.52
  6. Step 6: Final answer
    x = 5,867.14

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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.