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Finding the Fourth Proportional to 2,850.48, 4,275.12 and 798

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Solution

The fourth proportional to 2,850.48, 4,275.12 and 798 is: 1,196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.48 : 4,275.12 = 798 : x
  2. Step 2: Convert to fraction form
    2,850.48/4,275.12 = 798/x
  3. Step 3: Cross multiply
    2,850.48x = 4,275.12 × 798
  4. Step 4: Simplify right side
    2,850.48x = 3,411,545.76
  5. Step 5: Solve for x
    x = 3,411,545.76/2,850.48
  6. Step 6: Final answer
    x = 1,196.83

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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.