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Finding the Fourth Proportional to 12,786.18, 17,646.03 and 7,197.18

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Solution

The fourth proportional to 12,786.18, 17,646.03 and 7,197.18 is: 9,932.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786.18 : 17,646.03 = 7,197.18 : x
  2. Step 2: Convert to fraction form
    12,786.18/17,646.03 = 7,197.18/x
  3. Step 3: Cross multiply
    12,786.18x = 17,646.03 × 7,197.18
  4. Step 4: Simplify right side
    12,786.18x = 127,001,654.20
  5. Step 5: Solve for x
    x = 127,001,654.20/12,786.18
  6. Step 6: Final answer
    x = 9,932.73

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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.