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Finding the Fourth Proportional to 12,891.76, 17,799.20 and 9,902.25

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Solution

The fourth proportional to 12,891.76, 17,799.20 and 9,902.25 is: 13,671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,891.76 : 17,799.20 = 9,902.25 : x
  2. Step 2: Convert to fraction form
    12,891.76/17,799.20 = 9,902.25/x
  3. Step 3: Cross multiply
    12,891.76x = 17,799.20 × 9,902.25
  4. Step 4: Simplify right side
    12,891.76x = 176,252,128.20
  5. Step 5: Solve for x
    x = 176,252,128.20/12,891.76
  6. Step 6: Final answer
    x = 13,671.69

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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.