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Finding the Fourth Proportional to 1,676.34, 2,316.22 and 1,617.20

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Solution

The fourth proportional to 1,676.34, 2,316.22 and 1,617.20 is: 2,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.34 : 2,316.22 = 1,617.20 : x
  2. Step 2: Convert to fraction form
    1,676.34/2,316.22 = 1,617.20/x
  3. Step 3: Cross multiply
    1,676.34x = 2,316.22 × 1,617.20
  4. Step 4: Simplify right side
    1,676.34x = 3,745,790.98
  5. Step 5: Solve for x
    x = 3,745,790.98/1,676.34
  6. Step 6: Final answer
    x = 2,234.51

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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.