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Finding the Fourth Proportional to 3,407.31, 4,702.65 and 2,839.25

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Solution

The fourth proportional to 3,407.31, 4,702.65 and 2,839.25 is: 3,918.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.31 : 4,702.65 = 2,839.25 : x
  2. Step 2: Convert to fraction form
    3,407.31/4,702.65 = 2,839.25/x
  3. Step 3: Cross multiply
    3,407.31x = 4,702.65 × 2,839.25
  4. Step 4: Simplify right side
    3,407.31x = 13,351,999.01
  5. Step 5: Solve for x
    x = 13,351,999.01/3,407.31
  6. Step 6: Final answer
    x = 3,918.63

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1.5x scale

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.