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Finding the Fourth Proportional to 3,469.95, 5,204.12 and 1,278.90

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Solution

The fourth proportional to 3,469.95, 5,204.12 and 1,278.90 is: 1,918.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.95 : 5,204.12 = 1,278.90 : x
  2. Step 2: Convert to fraction form
    3,469.95/5,204.12 = 1,278.90/x
  3. Step 3: Cross multiply
    3,469.95x = 5,204.12 × 1,278.90
  4. Step 4: Simplify right side
    3,469.95x = 6,655,542.67
  5. Step 5: Solve for x
    x = 6,655,542.67/3,469.95
  6. Step 6: Final answer
    x = 1,918.05

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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.