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Finding the Fourth Proportional to 8,800.38, 12,157.74 and 5,782.68

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Solution

The fourth proportional to 8,800.38, 12,157.74 and 5,782.68 is: 7,988.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,800.38 : 12,157.74 = 5,782.68 : x
  2. Step 2: Convert to fraction form
    8,800.38/12,157.74 = 5,782.68/x
  3. Step 3: Cross multiply
    8,800.38x = 12,157.74 × 5,782.68
  4. Step 4: Simplify right side
    8,800.38x = 70,304,319.94
  5. Step 5: Solve for x
    x = 70,304,319.94/8,800.38
  6. Step 6: Final answer
    x = 7,988.78

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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.