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Finding the Fourth Proportional to 2,639.38, 3,956.88 and 995.02

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Solution

The fourth proportional to 2,639.38, 3,956.88 and 995.02 is: 1,491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.38 : 3,956.88 = 995.02 : x
  2. Step 2: Convert to fraction form
    2,639.38/3,956.88 = 995.02/x
  3. Step 3: Cross multiply
    2,639.38x = 3,956.88 × 995.02
  4. Step 4: Simplify right side
    2,639.38x = 3,937,174.74
  5. Step 5: Solve for x
    x = 3,937,174.74/2,639.38
  6. Step 6: Final answer
    x = 1,491.70

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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.