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Finding the Fourth Proportional to 5,855.76, 8,773.76 and 4,121.28

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Solution

The fourth proportional to 5,855.76, 8,773.76 and 4,121.28 is: 6,174.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.76 : 8,773.76 = 4,121.28 : x
  2. Step 2: Convert to fraction form
    5,855.76/8,773.76 = 4,121.28/x
  3. Step 3: Cross multiply
    5,855.76x = 8,773.76 × 4,121.28
  4. Step 4: Simplify right side
    5,855.76x = 36,159,121.61
  5. Step 5: Solve for x
    x = 36,159,121.61/5,855.76
  6. Step 6: Final answer
    x = 6,174.97

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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.