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Finding the Fourth Proportional to 15,487.65, 21,372.98 and 8,414.07

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Solution

The fourth proportional to 15,487.65, 21,372.98 and 8,414.07 is: 11,611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,487.65 : 21,372.98 = 8,414.07 : x
  2. Step 2: Convert to fraction form
    15,487.65/21,372.98 = 8,414.07/x
  3. Step 3: Cross multiply
    15,487.65x = 21,372.98 × 8,414.07
  4. Step 4: Simplify right side
    15,487.65x = 179,833,749.83
  5. Step 5: Solve for x
    x = 179,833,749.83/15,487.65
  6. Step 6: Final answer
    x = 11,611.43

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1.5x scale

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.