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Finding the Fourth Proportional to 11,366, 15,685.08 and 6,398

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Solution

The fourth proportional to 11,366, 15,685.08 and 6,398 is: 8,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,366 : 15,685.08 = 6,398 : x
  2. Step 2: Convert to fraction form
    11,366/15,685.08 = 6,398/x
  3. Step 3: Cross multiply
    11,366x = 15,685.08 × 6,398
  4. Step 4: Simplify right side
    11,366x = 100,353,141.84
  5. Step 5: Solve for x
    x = 100,353,141.84/11,366
  6. Step 6: Final answer
    x = 8,829.24

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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.