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Finding the Fourth Proportional to 10,583.80, 15,876.42 and 5,388.28

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Solution

The fourth proportional to 10,583.80, 15,876.42 and 5,388.28 is: 8,082.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.80 : 15,876.42 = 5,388.28 : x
  2. Step 2: Convert to fraction form
    10,583.80/15,876.42 = 5,388.28/x
  3. Step 3: Cross multiply
    10,583.80x = 15,876.42 × 5,388.28
  4. Step 4: Simplify right side
    10,583.80x = 85,546,596.36
  5. Step 5: Solve for x
    x = 85,546,596.36/10,583.80
  6. Step 6: Final answer
    x = 8,082.79

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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.