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Finding the Fourth Proportional to 5,753.85, 7,938.47 and 3,396.57

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Solution

The fourth proportional to 5,753.85, 7,938.47 and 3,396.57 is: 4,686.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.85 : 7,938.47 = 3,396.57 : x
  2. Step 2: Convert to fraction form
    5,753.85/7,938.47 = 3,396.57/x
  3. Step 3: Cross multiply
    5,753.85x = 7,938.47 × 3,396.57
  4. Step 4: Simplify right side
    5,753.85x = 26,963,552.07
  5. Step 5: Solve for x
    x = 26,963,552.07/5,753.85
  6. Step 6: Final answer
    x = 4,686.18

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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.