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Finding the Fourth Proportional to 5,138.48, 7,706.37 and 1,850.96

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Solution

The fourth proportional to 5,138.48, 7,706.37 and 1,850.96 is: 2,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.48 : 7,706.37 = 1,850.96 : x
  2. Step 2: Convert to fraction form
    5,138.48/7,706.37 = 1,850.96/x
  3. Step 3: Cross multiply
    5,138.48x = 7,706.37 × 1,850.96
  4. Step 4: Simplify right side
    5,138.48x = 14,264,182.62
  5. Step 5: Solve for x
    x = 14,264,182.62/5,138.48
  6. Step 6: Final answer
    x = 2,775.95

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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.