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Finding the Fourth Proportional to 15,838.49, 21,857.88 and 9,125.15

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Solution

The fourth proportional to 15,838.49, 21,857.88 and 9,125.15 is: 12,593.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.49 : 21,857.88 = 9,125.15 : x
  2. Step 2: Convert to fraction form
    15,838.49/21,857.88 = 9,125.15/x
  3. Step 3: Cross multiply
    15,838.49x = 21,857.88 × 9,125.15
  4. Step 4: Simplify right side
    15,838.49x = 199,456,433.68
  5. Step 5: Solve for x
    x = 199,456,433.68/15,838.49
  6. Step 6: Final answer
    x = 12,593.15

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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.