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Finding the Fourth Proportional to 3,972, 5,482.80 and 2,733.60

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Solution

The fourth proportional to 3,972, 5,482.80 and 2,733.60 is: 3,773.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972 : 5,482.80 = 2,733.60 : x
  2. Step 2: Convert to fraction form
    3,972/5,482.80 = 2,733.60/x
  3. Step 3: Cross multiply
    3,972x = 5,482.80 × 2,733.60
  4. Step 4: Simplify right side
    3,972x = 14,987,782.08
  5. Step 5: Solve for x
    x = 14,987,782.08/3,972
  6. Step 6: Final answer
    x = 3,773.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.