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Finding the Fourth Proportional to 5,514, 7,609.80 and 3,030.48

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Solution

The fourth proportional to 5,514, 7,609.80 and 3,030.48 is: 4,182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,514 : 7,609.80 = 3,030.48 : x
  2. Step 2: Convert to fraction form
    5,514/7,609.80 = 3,030.48/x
  3. Step 3: Cross multiply
    5,514x = 7,609.80 × 3,030.48
  4. Step 4: Simplify right side
    5,514x = 23,061,346.70
  5. Step 5: Solve for x
    x = 23,061,346.70/5,514
  6. Step 6: Final answer
    x = 4,182.33

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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.