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Finding the Fourth Proportional to 2,389.60, 3,584.54 and 746.38

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Solution

The fourth proportional to 2,389.60, 3,584.54 and 746.38 is: 1,119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.60 : 3,584.54 = 746.38 : x
  2. Step 2: Convert to fraction form
    2,389.60/3,584.54 = 746.38/x
  3. Step 3: Cross multiply
    2,389.60x = 3,584.54 × 746.38
  4. Step 4: Simplify right side
    2,389.60x = 2,675,428.97
  5. Step 5: Solve for x
    x = 2,675,428.97/2,389.60
  6. Step 6: Final answer
    x = 1,119.61

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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.