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Finding the Fourth Proportional to 5,540.64, 8,309.90 and 1,644.16

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Solution

The fourth proportional to 5,540.64, 8,309.90 and 1,644.16 is: 2,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.64 : 8,309.90 = 1,644.16 : x
  2. Step 2: Convert to fraction form
    5,540.64/8,309.90 = 1,644.16/x
  3. Step 3: Cross multiply
    5,540.64x = 8,309.90 × 1,644.16
  4. Step 4: Simplify right side
    5,540.64x = 13,662,805.18
  5. Step 5: Solve for x
    x = 13,662,805.18/5,540.64
  6. Step 6: Final answer
    x = 2,465.93

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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.