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Finding the Fourth Proportional to 2,639.40, 3,957.30 and 995.70

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Solution

The fourth proportional to 2,639.40, 3,957.30 and 995.70 is: 1,492.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.40 : 3,957.30 = 995.70 : x
  2. Step 2: Convert to fraction form
    2,639.40/3,957.30 = 995.70/x
  3. Step 3: Cross multiply
    2,639.40x = 3,957.30 × 995.70
  4. Step 4: Simplify right side
    2,639.40x = 3,940,283.61
  5. Step 5: Solve for x
    x = 3,940,283.61/2,639.40
  6. Step 6: Final answer
    x = 1,492.87

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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.