Home / 20,972.10-31,480-9,293.52

Finding the Fourth Proportional to 20,972.10, 31,480 and 9,293.52

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Solution

The fourth proportional to 20,972.10, 31,480 and 9,293.52 is: 13,949.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,972.10 : 31,480 = 9,293.52 : x
  2. Step 2: Convert to fraction form
    20,972.10/31,480 = 9,293.52/x
  3. Step 3: Cross multiply
    20,972.10x = 31,480 × 9,293.52
  4. Step 4: Simplify right side
    20,972.10x = 292,560,009.60
  5. Step 5: Solve for x
    x = 292,560,009.60/20,972.10
  6. Step 6: Final answer
    x = 13,949.96

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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.