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Finding the Fourth Proportional to 5,751.63, 7,938.72 and 3,394.53

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Solution

The fourth proportional to 5,751.63, 7,938.72 and 3,394.53 is: 4,685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.63 : 7,938.72 = 3,394.53 : x
  2. Step 2: Convert to fraction form
    5,751.63/7,938.72 = 3,394.53/x
  3. Step 3: Cross multiply
    5,751.63x = 7,938.72 × 3,394.53
  4. Step 4: Simplify right side
    5,751.63x = 26,948,223.20
  5. Step 5: Solve for x
    x = 26,948,223.20/5,751.63
  6. Step 6: Final answer
    x = 4,685.32

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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.