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Finding the Fourth Proportional to 3,684.60, 5,527.89 and 1,605.06

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Solution

The fourth proportional to 3,684.60, 5,527.89 and 1,605.06 is: 2,408.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.60 : 5,527.89 = 1,605.06 : x
  2. Step 2: Convert to fraction form
    3,684.60/5,527.89 = 1,605.06/x
  3. Step 3: Cross multiply
    3,684.60x = 5,527.89 × 1,605.06
  4. Step 4: Simplify right side
    3,684.60x = 8,872,595.12
  5. Step 5: Solve for x
    x = 8,872,595.12/3,684.60
  6. Step 6: Final answer
    x = 2,408.02

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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.