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Finding the Fourth Proportional to 15,872.94, 21,906.88 and 9,825.12

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Solution

The fourth proportional to 15,872.94, 21,906.88 and 9,825.12 is: 13,560.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.94 : 21,906.88 = 9,825.12 : x
  2. Step 2: Convert to fraction form
    15,872.94/21,906.88 = 9,825.12/x
  3. Step 3: Cross multiply
    15,872.94x = 21,906.88 × 9,825.12
  4. Step 4: Simplify right side
    15,872.94x = 215,237,755.53
  5. Step 5: Solve for x
    x = 215,237,755.53/15,872.94
  6. Step 6: Final answer
    x = 13,560.04

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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.