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Finding the Fourth Proportional to 2,230.38, 3,076.38 and 1,732.50

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Solution

The fourth proportional to 2,230.38, 3,076.38 and 1,732.50 is: 2,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.38 : 3,076.38 = 1,732.50 : x
  2. Step 2: Convert to fraction form
    2,230.38/3,076.38 = 1,732.50/x
  3. Step 3: Cross multiply
    2,230.38x = 3,076.38 × 1,732.50
  4. Step 4: Simplify right side
    2,230.38x = 5,329,828.35
  5. Step 5: Solve for x
    x = 5,329,828.35/2,230.38
  6. Step 6: Final answer
    x = 2,389.65

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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.