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Finding the Fourth Proportional to 8,917.56, 13,376.52 and 2,343.78

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Solution

The fourth proportional to 8,917.56, 13,376.52 and 2,343.78 is: 3,515.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,917.56 : 13,376.52 = 2,343.78 : x
  2. Step 2: Convert to fraction form
    8,917.56/13,376.52 = 2,343.78/x
  3. Step 3: Cross multiply
    8,917.56x = 13,376.52 × 2,343.78
  4. Step 4: Simplify right side
    8,917.56x = 31,351,620.05
  5. Step 5: Solve for x
    x = 31,351,620.05/8,917.56
  6. Step 6: Final answer
    x = 3,515.72

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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.