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Finding the Fourth Proportional to 6,503.28, 8,974.53 and 3,708.78

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Solution

The fourth proportional to 6,503.28, 8,974.53 and 3,708.78 is: 5,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.28 : 8,974.53 = 3,708.78 : x
  2. Step 2: Convert to fraction form
    6,503.28/8,974.53 = 3,708.78/x
  3. Step 3: Cross multiply
    6,503.28x = 8,974.53 × 3,708.78
  4. Step 4: Simplify right side
    6,503.28x = 33,284,557.37
  5. Step 5: Solve for x
    x = 33,284,557.37/6,503.28
  6. Step 6: Final answer
    x = 5,118.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.