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Finding the Fourth Proportional to 5,672.80, 7,825.72 and 3,683.98

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Solution

The fourth proportional to 5,672.80, 7,825.72 and 3,683.98 is: 5,082.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.80 : 7,825.72 = 3,683.98 : x
  2. Step 2: Convert to fraction form
    5,672.80/7,825.72 = 3,683.98/x
  3. Step 3: Cross multiply
    5,672.80x = 7,825.72 × 3,683.98
  4. Step 4: Simplify right side
    5,672.80x = 28,829,795.97
  5. Step 5: Solve for x
    x = 28,829,795.97/5,672.80
  6. Step 6: Final answer
    x = 5,082.11

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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.