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Finding the Fourth Proportional to 3,442.65, 5,166 and 1,362.86

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Solution

The fourth proportional to 3,442.65, 5,166 and 1,362.86 is: 2,045.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.65 : 5,166 = 1,362.86 : x
  2. Step 2: Convert to fraction form
    3,442.65/5,166 = 1,362.86/x
  3. Step 3: Cross multiply
    3,442.65x = 5,166 × 1,362.86
  4. Step 4: Simplify right side
    3,442.65x = 7,040,508.93
  5. Step 5: Solve for x
    x = 7,040,508.93/3,442.65
  6. Step 6: Final answer
    x = 2,045.08

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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.