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Finding the Fourth Proportional to 3,079.23, 4,618.29 and 887.42

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Solution

The fourth proportional to 3,079.23, 4,618.29 and 887.42 is: 1,330.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079.23 : 4,618.29 = 887.42 : x
  2. Step 2: Convert to fraction form
    3,079.23/4,618.29 = 887.42/x
  3. Step 3: Cross multiply
    3,079.23x = 4,618.29 × 887.42
  4. Step 4: Simplify right side
    3,079.23x = 4,098,362.91
  5. Step 5: Solve for x
    x = 4,098,362.91/3,079.23
  6. Step 6: Final answer
    x = 1,330.97

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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.