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Finding the Fourth Proportional to 7,359, 11,031.21 and 3,456.42

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Solution

The fourth proportional to 7,359, 11,031.21 and 3,456.42 is: 5,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,359 : 11,031.21 = 3,456.42 : x
  2. Step 2: Convert to fraction form
    7,359/11,031.21 = 3,456.42/x
  3. Step 3: Cross multiply
    7,359x = 11,031.21 × 3,456.42
  4. Step 4: Simplify right side
    7,359x = 38,128,494.87
  5. Step 5: Solve for x
    x = 38,128,494.87/7,359
  6. Step 6: Final answer
    x = 5,181.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.