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Finding the Fourth Proportional to 3,459.99, 5,186.13 and 1,379.46

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Solution

The fourth proportional to 3,459.99, 5,186.13 and 1,379.46 is: 2,067.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.99 : 5,186.13 = 1,379.46 : x
  2. Step 2: Convert to fraction form
    3,459.99/5,186.13 = 1,379.46/x
  3. Step 3: Cross multiply
    3,459.99x = 5,186.13 × 1,379.46
  4. Step 4: Simplify right side
    3,459.99x = 7,154,058.89
  5. Step 5: Solve for x
    x = 7,154,058.89/3,459.99
  6. Step 6: Final answer
    x = 2,067.65

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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.