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Finding the Fourth Proportional to 6,458, 8,910.92 and 3,805.20

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Solution

The fourth proportional to 6,458, 8,910.92 and 3,805.20 is: 5,250.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458 : 8,910.92 = 3,805.20 : x
  2. Step 2: Convert to fraction form
    6,458/8,910.92 = 3,805.20/x
  3. Step 3: Cross multiply
    6,458x = 8,910.92 × 3,805.20
  4. Step 4: Simplify right side
    6,458x = 33,907,832.78
  5. Step 5: Solve for x
    x = 33,907,832.78/6,458
  6. Step 6: Final answer
    x = 5,250.52

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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.