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Finding the Fourth Proportional to 3,803.64, 5,690.40 and 2,881.80

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Solution

The fourth proportional to 3,803.64, 5,690.40 and 2,881.80 is: 4,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.64 : 5,690.40 = 2,881.80 : x
  2. Step 2: Convert to fraction form
    3,803.64/5,690.40 = 2,881.80/x
  3. Step 3: Cross multiply
    3,803.64x = 5,690.40 × 2,881.80
  4. Step 4: Simplify right side
    3,803.64x = 16,398,594.72
  5. Step 5: Solve for x
    x = 16,398,594.72/3,803.64
  6. Step 6: Final answer
    x = 4,311.29

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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.