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Finding the Fourth Proportional to 3,407.92, 4,702.98 and 3,290.20

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Solution

The fourth proportional to 3,407.92, 4,702.98 and 3,290.20 is: 4,540.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.92 : 4,702.98 = 3,290.20 : x
  2. Step 2: Convert to fraction form
    3,407.92/4,702.98 = 3,290.20/x
  3. Step 3: Cross multiply
    3,407.92x = 4,702.98 × 3,290.20
  4. Step 4: Simplify right side
    3,407.92x = 15,473,744.80
  5. Step 5: Solve for x
    x = 15,473,744.80/3,407.92
  6. Step 6: Final answer
    x = 4,540.52

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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.