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Finding the Fourth Proportional to 3,684.61, 5,520.76 and 1,601.49

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Solution

The fourth proportional to 3,684.61, 5,520.76 and 1,601.49 is: 2,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.61 : 5,520.76 = 1,601.49 : x
  2. Step 2: Convert to fraction form
    3,684.61/5,520.76 = 1,601.49/x
  3. Step 3: Cross multiply
    3,684.61x = 5,520.76 × 1,601.49
  4. Step 4: Simplify right side
    3,684.61x = 8,841,458.63
  5. Step 5: Solve for x
    x = 8,841,458.63/3,684.61
  6. Step 6: Final answer
    x = 2,399.56

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1.5x scale

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.