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Finding the Fourth Proportional to 21,988.64, 32,990.25 and 14,622.10

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Solution

The fourth proportional to 21,988.64, 32,990.25 and 14,622.10 is: 21,938.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,988.64 : 32,990.25 = 14,622.10 : x
  2. Step 2: Convert to fraction form
    21,988.64/32,990.25 = 14,622.10/x
  3. Step 3: Cross multiply
    21,988.64x = 32,990.25 × 14,622.10
  4. Step 4: Simplify right side
    21,988.64x = 482,386,734.53
  5. Step 5: Solve for x
    x = 482,386,734.53/21,988.64
  6. Step 6: Final answer
    x = 21,938.00

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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.