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Finding the Fourth Proportional to 3,458, 5,186.08 and 992.20

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Solution

The fourth proportional to 3,458, 5,186.08 and 992.20 is: 1,488.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458 : 5,186.08 = 992.20 : x
  2. Step 2: Convert to fraction form
    3,458/5,186.08 = 992.20/x
  3. Step 3: Cross multiply
    3,458x = 5,186.08 × 992.20
  4. Step 4: Simplify right side
    3,458x = 5,145,628.58
  5. Step 5: Solve for x
    x = 5,145,628.58/3,458
  6. Step 6: Final answer
    x = 1,488.04

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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.