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Finding the Fourth Proportional to 2,685.68, 3,702.80 and 1,739.84

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Solution

The fourth proportional to 2,685.68, 3,702.80 and 1,739.84 is: 2,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.68 : 3,702.80 = 1,739.84 : x
  2. Step 2: Convert to fraction form
    2,685.68/3,702.80 = 1,739.84/x
  3. Step 3: Cross multiply
    2,685.68x = 3,702.80 × 1,739.84
  4. Step 4: Simplify right side
    2,685.68x = 6,442,279.55
  5. Step 5: Solve for x
    x = 6,442,279.55/2,685.68
  6. Step 6: Final answer
    x = 2,398.75

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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.