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Finding the Fourth Proportional to 12,787.47, 17,646.84 and 7,481.25

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Solution

The fourth proportional to 12,787.47, 17,646.84 and 7,481.25 is: 10,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.47 : 17,646.84 = 7,481.25 : x
  2. Step 2: Convert to fraction form
    12,787.47/17,646.84 = 7,481.25/x
  3. Step 3: Cross multiply
    12,787.47x = 17,646.84 × 7,481.25
  4. Step 4: Simplify right side
    12,787.47x = 132,020,421.75
  5. Step 5: Solve for x
    x = 132,020,421.75/12,787.47
  6. Step 6: Final answer
    x = 10,324.20

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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.