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Finding the Fourth Proportional to 8,603.28, 12,904.86 and 2,447.28

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Solution

The fourth proportional to 8,603.28, 12,904.86 and 2,447.28 is: 3,670.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,603.28 : 12,904.86 = 2,447.28 : x
  2. Step 2: Convert to fraction form
    8,603.28/12,904.86 = 2,447.28/x
  3. Step 3: Cross multiply
    8,603.28x = 12,904.86 × 2,447.28
  4. Step 4: Simplify right side
    8,603.28x = 31,581,805.78
  5. Step 5: Solve for x
    x = 31,581,805.78/8,603.28
  6. Step 6: Final answer
    x = 3,670.90

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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.