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Finding the Fourth Proportional to 5,710.32, 8,555 and 4,791.76

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Solution

The fourth proportional to 5,710.32, 8,555 and 4,791.76 is: 7,178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.32 : 8,555 = 4,791.76 : x
  2. Step 2: Convert to fraction form
    5,710.32/8,555 = 4,791.76/x
  3. Step 3: Cross multiply
    5,710.32x = 8,555 × 4,791.76
  4. Step 4: Simplify right side
    5,710.32x = 40,993,506.80
  5. Step 5: Solve for x
    x = 40,993,506.80/5,710.32
  6. Step 6: Final answer
    x = 7,178.85

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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.