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Finding the Fourth Proportional to 8,738.28, 13,102.56 and 4,580.28

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Solution

The fourth proportional to 8,738.28, 13,102.56 and 4,580.28 is: 6,867.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738.28 : 13,102.56 = 4,580.28 : x
  2. Step 2: Convert to fraction form
    8,738.28/13,102.56 = 4,580.28/x
  3. Step 3: Cross multiply
    8,738.28x = 13,102.56 × 4,580.28
  4. Step 4: Simplify right side
    8,738.28x = 60,013,393.52
  5. Step 5: Solve for x
    x = 60,013,393.52/8,738.28
  6. Step 6: Final answer
    x = 6,867.87

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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.