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Finding the Fourth Proportional to 2,269.57, 3,391.42 and 1,702.99

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Solution

The fourth proportional to 2,269.57, 3,391.42 and 1,702.99 is: 2,544.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.57 : 3,391.42 = 1,702.99 : x
  2. Step 2: Convert to fraction form
    2,269.57/3,391.42 = 1,702.99/x
  3. Step 3: Cross multiply
    2,269.57x = 3,391.42 × 1,702.99
  4. Step 4: Simplify right side
    2,269.57x = 5,775,557.52
  5. Step 5: Solve for x
    x = 5,775,557.52/2,269.57
  6. Step 6: Final answer
    x = 2,544.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.