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Finding the Fourth Proportional to 1,913.38, 2,868.32 and 744.18

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Solution

The fourth proportional to 1,913.38, 2,868.32 and 744.18 is: 1,115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.38 : 2,868.32 = 744.18 : x
  2. Step 2: Convert to fraction form
    1,913.38/2,868.32 = 744.18/x
  3. Step 3: Cross multiply
    1,913.38x = 2,868.32 × 744.18
  4. Step 4: Simplify right side
    1,913.38x = 2,134,546.38
  5. Step 5: Solve for x
    x = 2,134,546.38/1,913.38
  6. Step 6: Final answer
    x = 1,115.59

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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.