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Finding the Fourth Proportional to 5,138.55, 7,703.15 and 1,850.90

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Solution

The fourth proportional to 5,138.55, 7,703.15 and 1,850.90 is: 2,774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.55 : 7,703.15 = 1,850.90 : x
  2. Step 2: Convert to fraction form
    5,138.55/7,703.15 = 1,850.90/x
  3. Step 3: Cross multiply
    5,138.55x = 7,703.15 × 1,850.90
  4. Step 4: Simplify right side
    5,138.55x = 14,257,712.56
  5. Step 5: Solve for x
    x = 14,257,712.56/5,138.55
  6. Step 6: Final answer
    x = 2,774.66

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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.