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Finding the Fourth Proportional to 11,158, 15,398.04 and 6,190

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Solution

The fourth proportional to 11,158, 15,398.04 and 6,190 is: 8,542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,158 : 15,398.04 = 6,190 : x
  2. Step 2: Convert to fraction form
    11,158/15,398.04 = 6,190/x
  3. Step 3: Cross multiply
    11,158x = 15,398.04 × 6,190
  4. Step 4: Simplify right side
    11,158x = 95,313,867.60
  5. Step 5: Solve for x
    x = 95,313,867.60/11,158
  6. Step 6: Final answer
    x = 8,542.20

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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.