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Finding the Fourth Proportional to 2,393.19, 3,590.38 and 749.75

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Solution

The fourth proportional to 2,393.19, 3,590.38 and 749.75 is: 1,124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.19 : 3,590.38 = 749.75 : x
  2. Step 2: Convert to fraction form
    2,393.19/3,590.38 = 749.75/x
  3. Step 3: Cross multiply
    2,393.19x = 3,590.38 × 749.75
  4. Step 4: Simplify right side
    2,393.19x = 2,691,869.45
  5. Step 5: Solve for x
    x = 2,691,869.45/2,393.19
  6. Step 6: Final answer
    x = 1,124.81

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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.