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Finding the Fourth Proportional to 15,887.31, 21,922.13 and 8,813.78

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Solution

The fourth proportional to 15,887.31, 21,922.13 and 8,813.78 is: 12,161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,887.31 : 21,922.13 = 8,813.78 : x
  2. Step 2: Convert to fraction form
    15,887.31/21,922.13 = 8,813.78/x
  3. Step 3: Cross multiply
    15,887.31x = 21,922.13 × 8,813.78
  4. Step 4: Simplify right side
    15,887.31x = 193,216,677.27
  5. Step 5: Solve for x
    x = 193,216,677.27/15,887.31
  6. Step 6: Final answer
    x = 12,161.70

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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.