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Finding the Fourth Proportional to 5,679.84, 7,837.92 and 3,161.76

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Solution

The fourth proportional to 5,679.84, 7,837.92 and 3,161.76 is: 4,363.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.84 : 7,837.92 = 3,161.76 : x
  2. Step 2: Convert to fraction form
    5,679.84/7,837.92 = 3,161.76/x
  3. Step 3: Cross multiply
    5,679.84x = 7,837.92 × 3,161.76
  4. Step 4: Simplify right side
    5,679.84x = 24,781,621.94
  5. Step 5: Solve for x
    x = 24,781,621.94/5,679.84
  6. Step 6: Final answer
    x = 4,363.08

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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.