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Finding the Fourth Proportional to 2,347.72, 3,238.26 and 1,519.72

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Solution

The fourth proportional to 2,347.72, 3,238.26 and 1,519.72 is: 2,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.72 : 3,238.26 = 1,519.72 : x
  2. Step 2: Convert to fraction form
    2,347.72/3,238.26 = 1,519.72/x
  3. Step 3: Cross multiply
    2,347.72x = 3,238.26 × 1,519.72
  4. Step 4: Simplify right side
    2,347.72x = 4,921,248.49
  5. Step 5: Solve for x
    x = 4,921,248.49/2,347.72
  6. Step 6: Final answer
    x = 2,096.18

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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.