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Finding the Fourth Proportional to 2,412.75, 3,330 and 1,364.61

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Solution

The fourth proportional to 2,412.75, 3,330 and 1,364.61 is: 1,883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.75 : 3,330 = 1,364.61 : x
  2. Step 2: Convert to fraction form
    2,412.75/3,330 = 1,364.61/x
  3. Step 3: Cross multiply
    2,412.75x = 3,330 × 1,364.61
  4. Step 4: Simplify right side
    2,412.75x = 4,544,151.30
  5. Step 5: Solve for x
    x = 4,544,151.30/2,412.75
  6. Step 6: Final answer
    x = 1,883.39

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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.