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Finding the Fourth Proportional to 4,808.92, 7,212.80 and 1,298.66

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Solution

The fourth proportional to 4,808.92, 7,212.80 and 1,298.66 is: 1,947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,808.92 : 7,212.80 = 1,298.66 : x
  2. Step 2: Convert to fraction form
    4,808.92/7,212.80 = 1,298.66/x
  3. Step 3: Cross multiply
    4,808.92x = 7,212.80 × 1,298.66
  4. Step 4: Simplify right side
    4,808.92x = 9,366,974.85
  5. Step 5: Solve for x
    x = 9,366,974.85/4,808.92
  6. Step 6: Final answer
    x = 1,947.83

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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.