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Finding the Fourth Proportional to 21,301.70, 31,952.55 and 5,720.90

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Solution

The fourth proportional to 21,301.70, 31,952.55 and 5,720.90 is: 8,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,301.70 : 31,952.55 = 5,720.90 : x
  2. Step 2: Convert to fraction form
    21,301.70/31,952.55 = 5,720.90/x
  3. Step 3: Cross multiply
    21,301.70x = 31,952.55 × 5,720.90
  4. Step 4: Simplify right side
    21,301.70x = 182,797,343.30
  5. Step 5: Solve for x
    x = 182,797,343.30/21,301.70
  6. Step 6: Final answer
    x = 8,581.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.