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Finding the Fourth Proportional to 1,902.80, 2,848.80 and 1,467.20

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Solution

The fourth proportional to 1,902.80, 2,848.80 and 1,467.20 is: 2,196.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.80 : 2,848.80 = 1,467.20 : x
  2. Step 2: Convert to fraction form
    1,902.80/2,848.80 = 1,467.20/x
  3. Step 3: Cross multiply
    1,902.80x = 2,848.80 × 1,467.20
  4. Step 4: Simplify right side
    1,902.80x = 4,179,759.36
  5. Step 5: Solve for x
    x = 4,179,759.36/1,902.80
  6. Step 6: Final answer
    x = 2,196.64

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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.