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Finding the Fourth Proportional to 2,651.76, 3,979.20 and 1,009.68

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Solution

The fourth proportional to 2,651.76, 3,979.20 and 1,009.68 is: 1,515.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.76 : 3,979.20 = 1,009.68 : x
  2. Step 2: Convert to fraction form
    2,651.76/3,979.20 = 1,009.68/x
  3. Step 3: Cross multiply
    2,651.76x = 3,979.20 × 1,009.68
  4. Step 4: Simplify right side
    2,651.76x = 4,017,718.66
  5. Step 5: Solve for x
    x = 4,017,718.66/2,651.76
  6. Step 6: Final answer
    x = 1,515.11

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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.