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Finding the Fourth Proportional to 2,956.74, 4,435.76 and 876.91

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Solution

The fourth proportional to 2,956.74, 4,435.76 and 876.91 is: 1,315.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.74 : 4,435.76 = 876.91 : x
  2. Step 2: Convert to fraction form
    2,956.74/4,435.76 = 876.91/x
  3. Step 3: Cross multiply
    2,956.74x = 4,435.76 × 876.91
  4. Step 4: Simplify right side
    2,956.74x = 3,889,762.30
  5. Step 5: Solve for x
    x = 3,889,762.30/2,956.74
  6. Step 6: Final answer
    x = 1,315.56

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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.