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Finding the Fourth Proportional to 2,850.61, 4,275.99 and 849.10

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Solution

The fourth proportional to 2,850.61, 4,275.99 and 849.10 is: 1,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.61 : 4,275.99 = 849.10 : x
  2. Step 2: Convert to fraction form
    2,850.61/4,275.99 = 849.10/x
  3. Step 3: Cross multiply
    2,850.61x = 4,275.99 × 849.10
  4. Step 4: Simplify right side
    2,850.61x = 3,630,740.44
  5. Step 5: Solve for x
    x = 3,630,740.44/2,850.61
  6. Step 6: Final answer
    x = 1,273.67

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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.