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Finding the Fourth Proportional to 8,398.87, 12,581.02 and 4,927.75

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Solution

The fourth proportional to 8,398.87, 12,581.02 and 4,927.75 is: 7,381.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398.87 : 12,581.02 = 4,927.75 : x
  2. Step 2: Convert to fraction form
    8,398.87/12,581.02 = 4,927.75/x
  3. Step 3: Cross multiply
    8,398.87x = 12,581.02 × 4,927.75
  4. Step 4: Simplify right side
    8,398.87x = 61,996,121.31
  5. Step 5: Solve for x
    x = 61,996,121.31/8,398.87
  6. Step 6: Final answer
    x = 7,381.48

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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.