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Finding the Fourth Proportional to 15,892.88, 21,932.17 and 8,820.70

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Solution

The fourth proportional to 15,892.88, 21,932.17 and 8,820.70 is: 12,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.88 : 21,932.17 = 8,820.70 : x
  2. Step 2: Convert to fraction form
    15,892.88/21,932.17 = 8,820.70/x
  3. Step 3: Cross multiply
    15,892.88x = 21,932.17 × 8,820.70
  4. Step 4: Simplify right side
    15,892.88x = 193,457,015.04
  5. Step 5: Solve for x
    x = 193,457,015.04/15,892.88
  6. Step 6: Final answer
    x = 12,172.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.