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Finding the Fourth Proportional to 15,908.64, 21,952.88 and 9,940

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Solution

The fourth proportional to 15,908.64, 21,952.88 and 9,940 is: 13,716.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,908.64 : 21,952.88 = 9,940 : x
  2. Step 2: Convert to fraction form
    15,908.64/21,952.88 = 9,940/x
  3. Step 3: Cross multiply
    15,908.64x = 21,952.88 × 9,940
  4. Step 4: Simplify right side
    15,908.64x = 218,211,627.20
  5. Step 5: Solve for x
    x = 218,211,627.20/15,908.64
  6. Step 6: Final answer
    x = 13,716.55

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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.