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Finding the Fourth Proportional to 5,138.70, 7,708.05 and 1,851.90

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Solution

The fourth proportional to 5,138.70, 7,708.05 and 1,851.90 is: 2,777.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.70 : 7,708.05 = 1,851.90 : x
  2. Step 2: Convert to fraction form
    5,138.70/7,708.05 = 1,851.90/x
  3. Step 3: Cross multiply
    5,138.70x = 7,708.05 × 1,851.90
  4. Step 4: Simplify right side
    5,138.70x = 14,274,537.80
  5. Step 5: Solve for x
    x = 14,274,537.80/5,138.70
  6. Step 6: Final answer
    x = 2,777.85

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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.