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Finding the Fourth Proportional to 3,679.61, 5,520.33 and 1,599.12

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Solution

The fourth proportional to 3,679.61, 5,520.33 and 1,599.12 is: 2,399.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.61 : 5,520.33 = 1,599.12 : x
  2. Step 2: Convert to fraction form
    3,679.61/5,520.33 = 1,599.12/x
  3. Step 3: Cross multiply
    3,679.61x = 5,520.33 × 1,599.12
  4. Step 4: Simplify right side
    3,679.61x = 8,827,670.11
  5. Step 5: Solve for x
    x = 8,827,670.11/3,679.61
  6. Step 6: Final answer
    x = 2,399.08

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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.