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Finding the Fourth Proportional to 5,619.34, 8,408.13 and 3,529.56

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Solution

The fourth proportional to 5,619.34, 8,408.13 and 3,529.56 is: 5,281.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,619.34 : 8,408.13 = 3,529.56 : x
  2. Step 2: Convert to fraction form
    5,619.34/8,408.13 = 3,529.56/x
  3. Step 3: Cross multiply
    5,619.34x = 8,408.13 × 3,529.56
  4. Step 4: Simplify right side
    5,619.34x = 29,676,999.32
  5. Step 5: Solve for x
    x = 29,676,999.32/5,619.34
  6. Step 6: Final answer
    x = 5,281.23

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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.