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Finding the Fourth Proportional to 11,101.71, 15,313.19 and 6,622

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Solution

The fourth proportional to 11,101.71, 15,313.19 and 6,622 is: 9,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,101.71 : 15,313.19 = 6,622 : x
  2. Step 2: Convert to fraction form
    11,101.71/15,313.19 = 6,622/x
  3. Step 3: Cross multiply
    11,101.71x = 15,313.19 × 6,622
  4. Step 4: Simplify right side
    11,101.71x = 101,403,960.74
  5. Step 5: Solve for x
    x = 101,403,960.74/11,101.71
  6. Step 6: Final answer
    x = 9,134.09

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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.