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Finding the Fourth Proportional to 8,862, 12,231.72 and 5,138.16

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Solution

The fourth proportional to 8,862, 12,231.72 and 5,138.16 is: 7,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,862 : 12,231.72 = 5,138.16 : x
  2. Step 2: Convert to fraction form
    8,862/12,231.72 = 5,138.16/x
  3. Step 3: Cross multiply
    8,862x = 12,231.72 × 5,138.16
  4. Step 4: Simplify right side
    8,862x = 62,848,534.44
  5. Step 5: Solve for x
    x = 62,848,534.44/8,862
  6. Step 6: Final answer
    x = 7,091.91

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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.