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Finding the Fourth Proportional to 10,290, 14,202.12 and 5,874

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Solution

The fourth proportional to 10,290, 14,202.12 and 5,874 is: 8,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290 : 14,202.12 = 5,874 : x
  2. Step 2: Convert to fraction form
    10,290/14,202.12 = 5,874/x
  3. Step 3: Cross multiply
    10,290x = 14,202.12 × 5,874
  4. Step 4: Simplify right side
    10,290x = 83,423,252.88
  5. Step 5: Solve for x
    x = 83,423,252.88/10,290
  6. Step 6: Final answer
    x = 8,107.22

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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.