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Finding the Fourth Proportional to 2,699.12, 4,049.19 and 850.10

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Solution

The fourth proportional to 2,699.12, 4,049.19 and 850.10 is: 1,275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.12 : 4,049.19 = 850.10 : x
  2. Step 2: Convert to fraction form
    2,699.12/4,049.19 = 850.10/x
  3. Step 3: Cross multiply
    2,699.12x = 4,049.19 × 850.10
  4. Step 4: Simplify right side
    2,699.12x = 3,442,196.17
  5. Step 5: Solve for x
    x = 3,442,196.17/2,699.12
  6. Step 6: Final answer
    x = 1,275.30

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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.