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Finding the Fourth Proportional to 3,407.57, 4,702.64 and 1,895.15

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Solution

The fourth proportional to 3,407.57, 4,702.64 and 1,895.15 is: 2,615.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.57 : 4,702.64 = 1,895.15 : x
  2. Step 2: Convert to fraction form
    3,407.57/4,702.64 = 1,895.15/x
  3. Step 3: Cross multiply
    3,407.57x = 4,702.64 × 1,895.15
  4. Step 4: Simplify right side
    3,407.57x = 8,912,194.68
  5. Step 5: Solve for x
    x = 8,912,194.68/3,407.57
  6. Step 6: Final answer
    x = 2,615.41

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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.