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Finding the Fourth Proportional to 12,726.45, 17,564.31 and 7,691.40

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Solution

The fourth proportional to 12,726.45, 17,564.31 and 7,691.40 is: 10,615.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726.45 : 17,564.31 = 7,691.40 : x
  2. Step 2: Convert to fraction form
    12,726.45/17,564.31 = 7,691.40/x
  3. Step 3: Cross multiply
    12,726.45x = 17,564.31 × 7,691.40
  4. Step 4: Simplify right side
    12,726.45x = 135,094,133.93
  5. Step 5: Solve for x
    x = 135,094,133.93/12,726.45
  6. Step 6: Final answer
    x = 10,615.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.