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Finding the Fourth Proportional to 2,877.42, 3,974.72 and 2,135.21

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Solution

The fourth proportional to 2,877.42, 3,974.72 and 2,135.21 is: 2,949.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.42 : 3,974.72 = 2,135.21 : x
  2. Step 2: Convert to fraction form
    2,877.42/3,974.72 = 2,135.21/x
  3. Step 3: Cross multiply
    2,877.42x = 3,974.72 × 2,135.21
  4. Step 4: Simplify right side
    2,877.42x = 8,486,865.71
  5. Step 5: Solve for x
    x = 8,486,865.71/2,877.42
  6. Step 6: Final answer
    x = 2,949.47

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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.