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Finding the Fourth Proportional to 5,778.92, 7,972.33 and 3,419.69

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Solution

The fourth proportional to 5,778.92, 7,972.33 and 3,419.69 is: 4,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.92 : 7,972.33 = 3,419.69 : x
  2. Step 2: Convert to fraction form
    5,778.92/7,972.33 = 3,419.69/x
  3. Step 3: Cross multiply
    5,778.92x = 7,972.33 × 3,419.69
  4. Step 4: Simplify right side
    5,778.92x = 27,262,897.18
  5. Step 5: Solve for x
    x = 27,262,897.18/5,778.92
  6. Step 6: Final answer
    x = 4,717.65

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1.5x scale

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.