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Finding the Fourth Proportional to 2,702.79, 3,726.47 and 1,757.23

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Solution

The fourth proportional to 2,702.79, 3,726.47 and 1,757.23 is: 2,422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.79 : 3,726.47 = 1,757.23 : x
  2. Step 2: Convert to fraction form
    2,702.79/3,726.47 = 1,757.23/x
  3. Step 3: Cross multiply
    2,702.79x = 3,726.47 × 1,757.23
  4. Step 4: Simplify right side
    2,702.79x = 6,548,259.95
  5. Step 5: Solve for x
    x = 6,548,259.95/2,702.79
  6. Step 6: Final answer
    x = 2,422.78

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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.