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Finding the Fourth Proportional to 7,361, 10,158.20 and 4,049

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Solution

The fourth proportional to 7,361, 10,158.20 and 4,049 is: 5,587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361 : 10,158.20 = 4,049 : x
  2. Step 2: Convert to fraction form
    7,361/10,158.20 = 4,049/x
  3. Step 3: Cross multiply
    7,361x = 10,158.20 × 4,049
  4. Step 4: Simplify right side
    7,361x = 41,130,551.80
  5. Step 5: Solve for x
    x = 41,130,551.80/7,361
  6. Step 6: Final answer
    x = 5,587.63

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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.