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Finding the Fourth Proportional to 2,956.87, 4,435.76 and 876.66

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Solution

The fourth proportional to 2,956.87, 4,435.76 and 876.66 is: 1,315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.87 : 4,435.76 = 876.66 : x
  2. Step 2: Convert to fraction form
    2,956.87/4,435.76 = 876.66/x
  3. Step 3: Cross multiply
    2,956.87x = 4,435.76 × 876.66
  4. Step 4: Simplify right side
    2,956.87x = 3,888,626.80
  5. Step 5: Solve for x
    x = 3,888,626.80/2,956.87
  6. Step 6: Final answer
    x = 1,315.12

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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.