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Finding the Fourth Proportional to 1,778.64, 2,452.10 and 1,532.56

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Solution

The fourth proportional to 1,778.64, 2,452.10 and 1,532.56 is: 2,112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.64 : 2,452.10 = 1,532.56 : x
  2. Step 2: Convert to fraction form
    1,778.64/2,452.10 = 1,532.56/x
  3. Step 3: Cross multiply
    1,778.64x = 2,452.10 × 1,532.56
  4. Step 4: Simplify right side
    1,778.64x = 3,757,990.38
  5. Step 5: Solve for x
    x = 3,757,990.38/1,778.64
  6. Step 6: Final answer
    x = 2,112.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.