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Finding the Fourth Proportional to 2,681.60, 3,702.34 and 2,185.43

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Solution

The fourth proportional to 2,681.60, 3,702.34 and 2,185.43 is: 3,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.60 : 3,702.34 = 2,185.43 : x
  2. Step 2: Convert to fraction form
    2,681.60/3,702.34 = 2,185.43/x
  3. Step 3: Cross multiply
    2,681.60x = 3,702.34 × 2,185.43
  4. Step 4: Simplify right side
    2,681.60x = 8,091,186.39
  5. Step 5: Solve for x
    x = 8,091,186.39/2,681.60
  6. Step 6: Final answer
    x = 3,017.30

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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.