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Finding the Fourth Proportional to 2,702.25, 3,726.62 and 1,705.80

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Solution

The fourth proportional to 2,702.25, 3,726.62 and 1,705.80 is: 2,352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.25 : 3,726.62 = 1,705.80 : x
  2. Step 2: Convert to fraction form
    2,702.25/3,726.62 = 1,705.80/x
  3. Step 3: Cross multiply
    2,702.25x = 3,726.62 × 1,705.80
  4. Step 4: Simplify right side
    2,702.25x = 6,356,868.40
  5. Step 5: Solve for x
    x = 6,356,868.40/2,702.25
  6. Step 6: Final answer
    x = 2,352.44

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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.