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Finding the Fourth Proportional to 2,809.24, 3,878.56 and 2,514

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Solution

The fourth proportional to 2,809.24, 3,878.56 and 2,514 is: 3,470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.24 : 3,878.56 = 2,514 : x
  2. Step 2: Convert to fraction form
    2,809.24/3,878.56 = 2,514/x
  3. Step 3: Cross multiply
    2,809.24x = 3,878.56 × 2,514
  4. Step 4: Simplify right side
    2,809.24x = 9,750,699.84
  5. Step 5: Solve for x
    x = 9,750,699.84/2,809.24
  6. Step 6: Final answer
    x = 3,470.94

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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.