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Finding the Fourth Proportional to 2,247.38, 3,369 and 948.14

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Solution

The fourth proportional to 2,247.38, 3,369 and 948.14 is: 1,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.38 : 3,369 = 948.14 : x
  2. Step 2: Convert to fraction form
    2,247.38/3,369 = 948.14/x
  3. Step 3: Cross multiply
    2,247.38x = 3,369 × 948.14
  4. Step 4: Simplify right side
    2,247.38x = 3,194,283.66
  5. Step 5: Solve for x
    x = 3,194,283.66/2,247.38
  6. Step 6: Final answer
    x = 1,421.34

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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.