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Finding the Fourth Proportional to 1,788.34, 2,682.42 and 748.12

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Solution

The fourth proportional to 1,788.34, 2,682.42 and 748.12 is: 1,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.34 : 2,682.42 = 748.12 : x
  2. Step 2: Convert to fraction form
    1,788.34/2,682.42 = 748.12/x
  3. Step 3: Cross multiply
    1,788.34x = 2,682.42 × 748.12
  4. Step 4: Simplify right side
    1,788.34x = 2,006,772.05
  5. Step 5: Solve for x
    x = 2,006,772.05/1,788.34
  6. Step 6: Final answer
    x = 1,122.14

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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.