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Finding the Fourth Proportional to 3,616.80, 5,421.60 and 1,665.60

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Solution

The fourth proportional to 3,616.80, 5,421.60 and 1,665.60 is: 2,496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.80 : 5,421.60 = 1,665.60 : x
  2. Step 2: Convert to fraction form
    3,616.80/5,421.60 = 1,665.60/x
  3. Step 3: Cross multiply
    3,616.80x = 5,421.60 × 1,665.60
  4. Step 4: Simplify right side
    3,616.80x = 9,030,216.96
  5. Step 5: Solve for x
    x = 9,030,216.96/3,616.80
  6. Step 6: Final answer
    x = 2,496.74

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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.