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Finding the Fourth Proportional to 31,720.32, 43,770.50 and 17,569.62

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Solution

The fourth proportional to 31,720.32, 43,770.50 and 17,569.62 is: 24,244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,720.32 : 43,770.50 = 17,569.62 : x
  2. Step 2: Convert to fraction form
    31,720.32/43,770.50 = 17,569.62/x
  3. Step 3: Cross multiply
    31,720.32x = 43,770.50 × 17,569.62
  4. Step 4: Simplify right side
    31,720.32x = 769,031,052.21
  5. Step 5: Solve for x
    x = 769,031,052.21/31,720.32
  6. Step 6: Final answer
    x = 24,244.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.