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Finding the Fourth Proportional to 8,911.74, 13,391.82 and 4,754.64

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Solution

The fourth proportional to 8,911.74, 13,391.82 and 4,754.64 is: 7,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911.74 : 13,391.82 = 4,754.64 : x
  2. Step 2: Convert to fraction form
    8,911.74/13,391.82 = 4,754.64/x
  3. Step 3: Cross multiply
    8,911.74x = 13,391.82 × 4,754.64
  4. Step 4: Simplify right side
    8,911.74x = 63,673,283.04
  5. Step 5: Solve for x
    x = 63,673,283.04/8,911.74
  6. Step 6: Final answer
    x = 7,144.88

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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.