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Finding the Fourth Proportional to 2,201.56, 3,038.04 and 1,270

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Solution

The fourth proportional to 2,201.56, 3,038.04 and 1,270 is: 1,752.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.56 : 3,038.04 = 1,270 : x
  2. Step 2: Convert to fraction form
    2,201.56/3,038.04 = 1,270/x
  3. Step 3: Cross multiply
    2,201.56x = 3,038.04 × 1,270
  4. Step 4: Simplify right side
    2,201.56x = 3,858,310.80
  5. Step 5: Solve for x
    x = 3,858,310.80/2,201.56
  6. Step 6: Final answer
    x = 1,752.53

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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.