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Finding the Fourth Proportional to 3,479, 5,219.34 and 1,013.98

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Solution

The fourth proportional to 3,479, 5,219.34 and 1,013.98 is: 1,521.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,479 : 5,219.34 = 1,013.98 : x
  2. Step 2: Convert to fraction form
    3,479/5,219.34 = 1,013.98/x
  3. Step 3: Cross multiply
    3,479x = 5,219.34 × 1,013.98
  4. Step 4: Simplify right side
    3,479x = 5,292,306.37
  5. Step 5: Solve for x
    x = 5,292,306.37/3,479
  6. Step 6: Final answer
    x = 1,521.21

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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.