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Finding the Fourth Proportional to 5,621.91, 7,764.50 and 4,377.93

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Solution

The fourth proportional to 5,621.91, 7,764.50 and 4,377.93 is: 6,046.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,621.91 : 7,764.50 = 4,377.93 : x
  2. Step 2: Convert to fraction form
    5,621.91/7,764.50 = 4,377.93/x
  3. Step 3: Cross multiply
    5,621.91x = 7,764.50 × 4,377.93
  4. Step 4: Simplify right side
    5,621.91x = 33,992,437.49
  5. Step 5: Solve for x
    x = 33,992,437.49/5,621.91
  6. Step 6: Final answer
    x = 6,046.42

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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.