Home / 2,202.08-3,038.64-1,257.80

Finding the Fourth Proportional to 2,202.08, 3,038.64 and 1,257.80

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Solution

The fourth proportional to 2,202.08, 3,038.64 and 1,257.80 is: 1,735.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.08 : 3,038.64 = 1,257.80 : x
  2. Step 2: Convert to fraction form
    2,202.08/3,038.64 = 1,257.80/x
  3. Step 3: Cross multiply
    2,202.08x = 3,038.64 × 1,257.80
  4. Step 4: Simplify right side
    2,202.08x = 3,822,001.39
  5. Step 5: Solve for x
    x = 3,822,001.39/2,202.08
  6. Step 6: Final answer
    x = 1,735.63

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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.