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Finding the Fourth Proportional to 2,342.48, 3,232.20 and 1,514

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Solution

The fourth proportional to 2,342.48, 3,232.20 and 1,514 is: 2,089.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.48 : 3,232.20 = 1,514 : x
  2. Step 2: Convert to fraction form
    2,342.48/3,232.20 = 1,514/x
  3. Step 3: Cross multiply
    2,342.48x = 3,232.20 × 1,514
  4. Step 4: Simplify right side
    2,342.48x = 4,893,550.80
  5. Step 5: Solve for x
    x = 4,893,550.80/2,342.48
  6. Step 6: Final answer
    x = 2,089.05

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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.