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Finding the Fourth Proportional to 2,777.43, 4,167.50 and 1,314.84

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Solution

The fourth proportional to 2,777.43, 4,167.50 and 1,314.84 is: 1,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.43 : 4,167.50 = 1,314.84 : x
  2. Step 2: Convert to fraction form
    2,777.43/4,167.50 = 1,314.84/x
  3. Step 3: Cross multiply
    2,777.43x = 4,167.50 × 1,314.84
  4. Step 4: Simplify right side
    2,777.43x = 5,479,595.70
  5. Step 5: Solve for x
    x = 5,479,595.70/2,777.43
  6. Step 6: Final answer
    x = 1,972.90

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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.