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Finding the Fourth Proportional to 4,756, 7,134.12 and 1,981.88

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Solution

The fourth proportional to 4,756, 7,134.12 and 1,981.88 is: 2,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756 : 7,134.12 = 1,981.88 : x
  2. Step 2: Convert to fraction form
    4,756/7,134.12 = 1,981.88/x
  3. Step 3: Cross multiply
    4,756x = 7,134.12 × 1,981.88
  4. Step 4: Simplify right side
    4,756x = 14,138,969.75
  5. Step 5: Solve for x
    x = 14,138,969.75/4,756
  6. Step 6: Final answer
    x = 2,972.87

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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.