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Finding the Fourth Proportional to 5,811.98, 8,718.42 and 3,487.82

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Solution

The fourth proportional to 5,811.98, 8,718.42 and 3,487.82 is: 5,232.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.98 : 8,718.42 = 3,487.82 : x
  2. Step 2: Convert to fraction form
    5,811.98/8,718.42 = 3,487.82/x
  3. Step 3: Cross multiply
    5,811.98x = 8,718.42 × 3,487.82
  4. Step 4: Simplify right side
    5,811.98x = 30,408,279.64
  5. Step 5: Solve for x
    x = 30,408,279.64/5,811.98
  6. Step 6: Final answer
    x = 5,232.00

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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.