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Finding the Fourth Proportional to 3,536.64, 5,296.32 and 3,052.80

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Solution

The fourth proportional to 3,536.64, 5,296.32 and 3,052.80 is: 4,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.64 : 5,296.32 = 3,052.80 : x
  2. Step 2: Convert to fraction form
    3,536.64/5,296.32 = 3,052.80/x
  3. Step 3: Cross multiply
    3,536.64x = 5,296.32 × 3,052.80
  4. Step 4: Simplify right side
    3,536.64x = 16,168,605.70
  5. Step 5: Solve for x
    x = 16,168,605.70/3,536.64
  6. Step 6: Final answer
    x = 4,571.74

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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.