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Finding the Fourth Proportional to 6,987.52, 9,642.84 and 4,297.96

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Solution

The fourth proportional to 6,987.52, 9,642.84 and 4,297.96 is: 5,931.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.52 : 9,642.84 = 4,297.96 : x
  2. Step 2: Convert to fraction form
    6,987.52/9,642.84 = 4,297.96/x
  3. Step 3: Cross multiply
    6,987.52x = 9,642.84 × 4,297.96
  4. Step 4: Simplify right side
    6,987.52x = 41,444,540.61
  5. Step 5: Solve for x
    x = 41,444,540.61/6,987.52
  6. Step 6: Final answer
    x = 5,931.22

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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.