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Finding the Fourth Proportional to 5,492.28, 7,579 and 3,135.20

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Solution

The fourth proportional to 5,492.28, 7,579 and 3,135.20 is: 4,326.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.28 : 7,579 = 3,135.20 : x
  2. Step 2: Convert to fraction form
    5,492.28/7,579 = 3,135.20/x
  3. Step 3: Cross multiply
    5,492.28x = 7,579 × 3,135.20
  4. Step 4: Simplify right side
    5,492.28x = 23,761,680.80
  5. Step 5: Solve for x
    x = 23,761,680.80/5,492.28
  6. Step 6: Final answer
    x = 4,326.38

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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.