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Finding the Fourth Proportional to 3,254.88, 4,882.65 and 914.89

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Solution

The fourth proportional to 3,254.88, 4,882.65 and 914.89 is: 1,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.88 : 4,882.65 = 914.89 : x
  2. Step 2: Convert to fraction form
    3,254.88/4,882.65 = 914.89/x
  3. Step 3: Cross multiply
    3,254.88x = 4,882.65 × 914.89
  4. Step 4: Simplify right side
    3,254.88x = 4,467,087.66
  5. Step 5: Solve for x
    x = 4,467,087.66/3,254.88
  6. Step 6: Final answer
    x = 1,372.43

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1.5x scale

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.