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Finding the Fourth Proportional to 21,989.80, 32,972.55 and 9,507.70

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Solution

The fourth proportional to 21,989.80, 32,972.55 and 9,507.70 is: 14,256.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,989.80 : 32,972.55 = 9,507.70 : x
  2. Step 2: Convert to fraction form
    21,989.80/32,972.55 = 9,507.70/x
  3. Step 3: Cross multiply
    21,989.80x = 32,972.55 × 9,507.70
  4. Step 4: Simplify right side
    21,989.80x = 313,493,113.64
  5. Step 5: Solve for x
    x = 313,493,113.64/21,989.80
  6. Step 6: Final answer
    x = 14,256.30

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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.