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Finding the Fourth Proportional to 11,618.32, 17,427.96 and 5,458

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Solution

The fourth proportional to 11,618.32, 17,427.96 and 5,458 is: 8,187.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.32 : 17,427.96 = 5,458 : x
  2. Step 2: Convert to fraction form
    11,618.32/17,427.96 = 5,458/x
  3. Step 3: Cross multiply
    11,618.32x = 17,427.96 × 5,458
  4. Step 4: Simplify right side
    11,618.32x = 95,121,805.68
  5. Step 5: Solve for x
    x = 95,121,805.68/11,618.32
  6. Step 6: Final answer
    x = 8,187.23

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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.