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Finding the Fourth Proportional to 2,655.68, 3,979.36 and 2,005.92

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Solution

The fourth proportional to 2,655.68, 3,979.36 and 2,005.92 is: 3,005.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.68 : 3,979.36 = 2,005.92 : x
  2. Step 2: Convert to fraction form
    2,655.68/3,979.36 = 2,005.92/x
  3. Step 3: Cross multiply
    2,655.68x = 3,979.36 × 2,005.92
  4. Step 4: Simplify right side
    2,655.68x = 7,982,277.81
  5. Step 5: Solve for x
    x = 7,982,277.81/2,655.68
  6. Step 6: Final answer
    x = 3,005.74

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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.