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Finding the Fourth Proportional to 22,531.20, 31,100.80 and 13,102.72

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Solution

The fourth proportional to 22,531.20, 31,100.80 and 13,102.72 is: 18,086.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,531.20 : 31,100.80 = 13,102.72 : x
  2. Step 2: Convert to fraction form
    22,531.20/31,100.80 = 13,102.72/x
  3. Step 3: Cross multiply
    22,531.20x = 31,100.80 × 13,102.72
  4. Step 4: Simplify right side
    22,531.20x = 407,505,074.18
  5. Step 5: Solve for x
    x = 407,505,074.18/22,531.20
  6. Step 6: Final answer
    x = 18,086.26

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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.