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Finding the Fourth Proportional to 15,722.10, 21,698.08 and 9,008.61

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Solution

The fourth proportional to 15,722.10, 21,698.08 and 9,008.61 is: 12,432.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722.10 : 21,698.08 = 9,008.61 : x
  2. Step 2: Convert to fraction form
    15,722.10/21,698.08 = 9,008.61/x
  3. Step 3: Cross multiply
    15,722.10x = 21,698.08 × 9,008.61
  4. Step 4: Simplify right side
    15,722.10x = 195,469,540.47
  5. Step 5: Solve for x
    x = 195,469,540.47/15,722.10
  6. Step 6: Final answer
    x = 12,432.79

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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.