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Finding the Fourth Proportional to 15,705.50, 21,672.32 and 8,989.60

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Solution

The fourth proportional to 15,705.50, 21,672.32 and 8,989.60 is: 12,404.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.50 : 21,672.32 = 8,989.60 : x
  2. Step 2: Convert to fraction form
    15,705.50/21,672.32 = 8,989.60/x
  3. Step 3: Cross multiply
    15,705.50x = 21,672.32 × 8,989.60
  4. Step 4: Simplify right side
    15,705.50x = 194,825,487.87
  5. Step 5: Solve for x
    x = 194,825,487.87/15,705.50
  6. Step 6: Final answer
    x = 12,404.92

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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.