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Finding the Fourth Proportional to 15,745, 21,728.10 and 8,671.42

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Solution

The fourth proportional to 15,745, 21,728.10 and 8,671.42 is: 11,966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,745 : 21,728.10 = 8,671.42 : x
  2. Step 2: Convert to fraction form
    15,745/21,728.10 = 8,671.42/x
  3. Step 3: Cross multiply
    15,745x = 21,728.10 × 8,671.42
  4. Step 4: Simplify right side
    15,745x = 188,413,480.90
  5. Step 5: Solve for x
    x = 188,413,480.90/15,745
  6. Step 6: Final answer
    x = 11,966.56

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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.