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Finding the Fourth Proportional to 12,687.82, 17,525.92 and 9,740.08

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Solution

The fourth proportional to 12,687.82, 17,525.92 and 9,740.08 is: 13,454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687.82 : 17,525.92 = 9,740.08 : x
  2. Step 2: Convert to fraction form
    12,687.82/17,525.92 = 9,740.08/x
  3. Step 3: Cross multiply
    12,687.82x = 17,525.92 × 9,740.08
  4. Step 4: Simplify right side
    12,687.82x = 170,703,862.87
  5. Step 5: Solve for x
    x = 170,703,862.87/12,687.82
  6. Step 6: Final answer
    x = 13,454.15

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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.