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Finding the Fourth Proportional to 3,254.64, 4,882.80 and 914.65

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Solution

The fourth proportional to 3,254.64, 4,882.80 and 914.65 is: 1,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.64 : 4,882.80 = 914.65 : x
  2. Step 2: Convert to fraction form
    3,254.64/4,882.80 = 914.65/x
  3. Step 3: Cross multiply
    3,254.64x = 4,882.80 × 914.65
  4. Step 4: Simplify right side
    3,254.64x = 4,466,053.02
  5. Step 5: Solve for x
    x = 4,466,053.02/3,254.64
  6. Step 6: Final answer
    x = 1,372.21

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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.