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Finding the Fourth Proportional to 21,773.40, 32,708.70 and 20,947.20

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Solution

The fourth proportional to 21,773.40, 32,708.70 and 20,947.20 is: 31,467.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,773.40 : 32,708.70 = 20,947.20 : x
  2. Step 2: Convert to fraction form
    21,773.40/32,708.70 = 20,947.20/x
  3. Step 3: Cross multiply
    21,773.40x = 32,708.70 × 20,947.20
  4. Step 4: Simplify right side
    21,773.40x = 685,155,680.64
  5. Step 5: Solve for x
    x = 685,155,680.64/21,773.40
  6. Step 6: Final answer
    x = 31,467.56

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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.