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Finding the Fourth Proportional to 3,201.88, 4,421.22 and 3,038.80

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Solution

The fourth proportional to 3,201.88, 4,421.22 and 3,038.80 is: 4,196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.88 : 4,421.22 = 3,038.80 : x
  2. Step 2: Convert to fraction form
    3,201.88/4,421.22 = 3,038.80/x
  3. Step 3: Cross multiply
    3,201.88x = 4,421.22 × 3,038.80
  4. Step 4: Simplify right side
    3,201.88x = 13,435,203.34
  5. Step 5: Solve for x
    x = 13,435,203.34/3,201.88
  6. Step 6: Final answer
    x = 4,196.04

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1.5x scale

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.