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Finding the Fourth Proportional to 5,711.64, 7,883.10 and 3,321.93

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Solution

The fourth proportional to 5,711.64, 7,883.10 and 3,321.93 is: 4,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.64 : 7,883.10 = 3,321.93 : x
  2. Step 2: Convert to fraction form
    5,711.64/7,883.10 = 3,321.93/x
  3. Step 3: Cross multiply
    5,711.64x = 7,883.10 × 3,321.93
  4. Step 4: Simplify right side
    5,711.64x = 26,187,106.38
  5. Step 5: Solve for x
    x = 26,187,106.38/5,711.64
  6. Step 6: Final answer
    x = 4,584.87

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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.