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Finding the Fourth Proportional to 2,122.56, 3,180.35 and 735.14

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Solution

The fourth proportional to 2,122.56, 3,180.35 and 735.14 is: 1,101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.56 : 3,180.35 = 735.14 : x
  2. Step 2: Convert to fraction form
    2,122.56/3,180.35 = 735.14/x
  3. Step 3: Cross multiply
    2,122.56x = 3,180.35 × 735.14
  4. Step 4: Simplify right side
    2,122.56x = 2,338,012.29
  5. Step 5: Solve for x
    x = 2,338,012.29/2,122.56
  6. Step 6: Final answer
    x = 1,101.51

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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.