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Finding the Fourth Proportional to 4,789.92, 7,182.80 and 1,866.56

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Solution

The fourth proportional to 4,789.92, 7,182.80 and 1,866.56 is: 2,799.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.92 : 7,182.80 = 1,866.56 : x
  2. Step 2: Convert to fraction form
    4,789.92/7,182.80 = 1,866.56/x
  3. Step 3: Cross multiply
    4,789.92x = 7,182.80 × 1,866.56
  4. Step 4: Simplify right side
    4,789.92x = 13,407,127.17
  5. Step 5: Solve for x
    x = 13,407,127.17/4,789.92
  6. Step 6: Final answer
    x = 2,799.03

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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.