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Finding the Fourth Proportional to 3,872.80, 5,802.80 and 3,322.40

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Solution

The fourth proportional to 3,872.80, 5,802.80 and 3,322.40 is: 4,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.80 : 5,802.80 = 3,322.40 : x
  2. Step 2: Convert to fraction form
    3,872.80/5,802.80 = 3,322.40/x
  3. Step 3: Cross multiply
    3,872.80x = 5,802.80 × 3,322.40
  4. Step 4: Simplify right side
    3,872.80x = 19,279,222.72
  5. Step 5: Solve for x
    x = 19,279,222.72/3,872.80
  6. Step 6: Final answer
    x = 4,978.11

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1.5x scale

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.