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Finding the Fourth Proportional to 2,685.64, 3,702.54 and 1,988.68

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Solution

The fourth proportional to 2,685.64, 3,702.54 and 1,988.68 is: 2,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.64 : 3,702.54 = 1,988.68 : x
  2. Step 2: Convert to fraction form
    2,685.64/3,702.54 = 1,988.68/x
  3. Step 3: Cross multiply
    2,685.64x = 3,702.54 × 1,988.68
  4. Step 4: Simplify right side
    2,685.64x = 7,363,167.25
  5. Step 5: Solve for x
    x = 7,363,167.25/2,685.64
  6. Step 6: Final answer
    x = 2,741.68

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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.