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Finding the Fourth Proportional to 8,741.20, 12,078.20 and 6,987.28

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Solution

The fourth proportional to 8,741.20, 12,078.20 and 6,987.28 is: 9,654.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,741.20 : 12,078.20 = 6,987.28 : x
  2. Step 2: Convert to fraction form
    8,741.20/12,078.20 = 6,987.28/x
  3. Step 3: Cross multiply
    8,741.20x = 12,078.20 × 6,987.28
  4. Step 4: Simplify right side
    8,741.20x = 84,393,765.30
  5. Step 5: Solve for x
    x = 84,393,765.30/8,741.20
  6. Step 6: Final answer
    x = 9,654.71

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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.