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Finding the Fourth Proportional to 11,217.87, 15,480 and 6,502.05

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Solution

The fourth proportional to 11,217.87, 15,480 and 6,502.05 is: 8,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,217.87 : 15,480 = 6,502.05 : x
  2. Step 2: Convert to fraction form
    11,217.87/15,480 = 6,502.05/x
  3. Step 3: Cross multiply
    11,217.87x = 15,480 × 6,502.05
  4. Step 4: Simplify right side
    11,217.87x = 100,651,734
  5. Step 5: Solve for x
    x = 100,651,734/11,217.87
  6. Step 6: Final answer
    x = 8,972.45

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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.