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Finding the Fourth Proportional to 1,508.10, 2,080.92 and 878.73

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Solution

The fourth proportional to 1,508.10, 2,080.92 and 878.73 is: 1,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.10 : 2,080.92 = 878.73 : x
  2. Step 2: Convert to fraction form
    1,508.10/2,080.92 = 878.73/x
  3. Step 3: Cross multiply
    1,508.10x = 2,080.92 × 878.73
  4. Step 4: Simplify right side
    1,508.10x = 1,828,566.83
  5. Step 5: Solve for x
    x = 1,828,566.83/1,508.10
  6. Step 6: Final answer
    x = 1,212.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.