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Finding the Fourth Proportional to 2,700.92, 4,051.92 and 969.68

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Solution

The fourth proportional to 2,700.92, 4,051.92 and 969.68 is: 1,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.92 : 4,051.92 = 969.68 : x
  2. Step 2: Convert to fraction form
    2,700.92/4,051.92 = 969.68/x
  3. Step 3: Cross multiply
    2,700.92x = 4,051.92 × 969.68
  4. Step 4: Simplify right side
    2,700.92x = 3,929,065.79
  5. Step 5: Solve for x
    x = 3,929,065.79/2,700.92
  6. Step 6: Final answer
    x = 1,454.71

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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.