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Finding the Fourth Proportional to 2,348.27, 3,238.40 and 1,752.20

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Solution

The fourth proportional to 2,348.27, 3,238.40 and 1,752.20 is: 2,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.27 : 3,238.40 = 1,752.20 : x
  2. Step 2: Convert to fraction form
    2,348.27/3,238.40 = 1,752.20/x
  3. Step 3: Cross multiply
    2,348.27x = 3,238.40 × 1,752.20
  4. Step 4: Simplify right side
    2,348.27x = 5,674,324.48
  5. Step 5: Solve for x
    x = 5,674,324.48/2,348.27
  6. Step 6: Final answer
    x = 2,416.39

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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.