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Finding the Fourth Proportional to 2,078.87, 3,118.30 and 981.72

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Solution

The fourth proportional to 2,078.87, 3,118.30 and 981.72 is: 1,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.87 : 3,118.30 = 981.72 : x
  2. Step 2: Convert to fraction form
    2,078.87/3,118.30 = 981.72/x
  3. Step 3: Cross multiply
    2,078.87x = 3,118.30 × 981.72
  4. Step 4: Simplify right side
    2,078.87x = 3,061,295.02
  5. Step 5: Solve for x
    x = 3,061,295.02/2,078.87
  6. Step 6: Final answer
    x = 1,472.58

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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.