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Finding the Fourth Proportional to 8,726.97, 13,090.48 and 7,186.15

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Solution

The fourth proportional to 8,726.97, 13,090.48 and 7,186.15 is: 10,779.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,726.97 : 13,090.48 = 7,186.15 : x
  2. Step 2: Convert to fraction form
    8,726.97/13,090.48 = 7,186.15/x
  3. Step 3: Cross multiply
    8,726.97x = 13,090.48 × 7,186.15
  4. Step 4: Simplify right side
    8,726.97x = 94,070,151.25
  5. Step 5: Solve for x
    x = 94,070,151.25/8,726.97
  6. Step 6: Final answer
    x = 10,779.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.