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Finding the Fourth Proportional to 1,761.34, 2,431.02 and 1,063.12

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Solution

The fourth proportional to 1,761.34, 2,431.02 and 1,063.12 is: 1,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.34 : 2,431.02 = 1,063.12 : x
  2. Step 2: Convert to fraction form
    1,761.34/2,431.02 = 1,063.12/x
  3. Step 3: Cross multiply
    1,761.34x = 2,431.02 × 1,063.12
  4. Step 4: Simplify right side
    1,761.34x = 2,584,465.98
  5. Step 5: Solve for x
    x = 2,584,465.98/1,761.34
  6. Step 6: Final answer
    x = 1,467.33

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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.