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Finding the Fourth Proportional to 1,689.22, 2,531.94 and 1,203.22

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Solution

The fourth proportional to 1,689.22, 2,531.94 and 1,203.22 is: 1,803.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.22 : 2,531.94 = 1,203.22 : x
  2. Step 2: Convert to fraction form
    1,689.22/2,531.94 = 1,203.22/x
  3. Step 3: Cross multiply
    1,689.22x = 2,531.94 × 1,203.22
  4. Step 4: Simplify right side
    1,689.22x = 3,046,480.85
  5. Step 5: Solve for x
    x = 3,046,480.85/1,689.22
  6. Step 6: Final answer
    x = 1,803.48

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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.