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Finding the Fourth Proportional to 2,681.98, 3,702.86 and 2,185.80

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Solution

The fourth proportional to 2,681.98, 3,702.86 and 2,185.80 is: 3,017.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.98 : 3,702.86 = 2,185.80 : x
  2. Step 2: Convert to fraction form
    2,681.98/3,702.86 = 2,185.80/x
  3. Step 3: Cross multiply
    2,681.98x = 3,702.86 × 2,185.80
  4. Step 4: Simplify right side
    2,681.98x = 8,093,711.39
  5. Step 5: Solve for x
    x = 8,093,711.39/2,681.98
  6. Step 6: Final answer
    x = 3,017.81

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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.