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Finding the Fourth Proportional to 2,175.34, 3,262.41 and 615.22

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Solution

The fourth proportional to 2,175.34, 3,262.41 and 615.22 is: 922.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.34 : 3,262.41 = 615.22 : x
  2. Step 2: Convert to fraction form
    2,175.34/3,262.41 = 615.22/x
  3. Step 3: Cross multiply
    2,175.34x = 3,262.41 × 615.22
  4. Step 4: Simplify right side
    2,175.34x = 2,007,099.88
  5. Step 5: Solve for x
    x = 2,007,099.88/2,175.34
  6. Step 6: Final answer
    x = 922.66

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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.