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Finding the Fourth Proportional to 5,281.82, 7,289.42 and 3,514

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Solution

The fourth proportional to 5,281.82, 7,289.42 and 3,514 is: 4,849.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.82 : 7,289.42 = 3,514 : x
  2. Step 2: Convert to fraction form
    5,281.82/7,289.42 = 3,514/x
  3. Step 3: Cross multiply
    5,281.82x = 7,289.42 × 3,514
  4. Step 4: Simplify right side
    5,281.82x = 25,615,021.88
  5. Step 5: Solve for x
    x = 25,615,021.88/5,281.82
  6. Step 6: Final answer
    x = 4,849.66

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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.