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Finding the Fourth Proportional to 3,702.81, 5,111.19 and 3,265.41

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Solution

The fourth proportional to 3,702.81, 5,111.19 and 3,265.41 is: 4,507.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.81 : 5,111.19 = 3,265.41 : x
  2. Step 2: Convert to fraction form
    3,702.81/5,111.19 = 3,265.41/x
  3. Step 3: Cross multiply
    3,702.81x = 5,111.19 × 3,265.41
  4. Step 4: Simplify right side
    3,702.81x = 16,690,130.94
  5. Step 5: Solve for x
    x = 16,690,130.94/3,702.81
  6. Step 6: Final answer
    x = 4,507.42

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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.