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Finding the Fourth Proportional to 21,963.15, 32,921.10 and 9,489.08

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Solution

The fourth proportional to 21,963.15, 32,921.10 and 9,489.08 is: 14,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,963.15 : 32,921.10 = 9,489.08 : x
  2. Step 2: Convert to fraction form
    21,963.15/32,921.10 = 9,489.08/x
  3. Step 3: Cross multiply
    21,963.15x = 32,921.10 × 9,489.08
  4. Step 4: Simplify right side
    21,963.15x = 312,391,033.89
  5. Step 5: Solve for x
    x = 312,391,033.89/21,963.15
  6. Step 6: Final answer
    x = 14,223.42

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1.5x scale

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.