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Finding the Fourth Proportional to 5,360.46, 7,389.82 and 3,941.64

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Solution

The fourth proportional to 5,360.46, 7,389.82 and 3,941.64 is: 5,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,360.46 : 7,389.82 = 3,941.64 : x
  2. Step 2: Convert to fraction form
    5,360.46/7,389.82 = 3,941.64/x
  3. Step 3: Cross multiply
    5,360.46x = 7,389.82 × 3,941.64
  4. Step 4: Simplify right side
    5,360.46x = 29,128,010.10
  5. Step 5: Solve for x
    x = 29,128,010.10/5,360.46
  6. Step 6: Final answer
    x = 5,433.86

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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.