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Finding the Fourth Proportional to 2,657.70, 3,986.55 and 2,106.90

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Solution

The fourth proportional to 2,657.70, 3,986.55 and 2,106.90 is: 3,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.70 : 3,986.55 = 2,106.90 : x
  2. Step 2: Convert to fraction form
    2,657.70/3,986.55 = 2,106.90/x
  3. Step 3: Cross multiply
    2,657.70x = 3,986.55 × 2,106.90
  4. Step 4: Simplify right side
    2,657.70x = 8,399,262.20
  5. Step 5: Solve for x
    x = 8,399,262.20/2,657.70
  6. Step 6: Final answer
    x = 3,160.35

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.