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Finding the Fourth Proportional to 1,761.96, 2,431.45 and 975.97

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Solution

The fourth proportional to 1,761.96, 2,431.45 and 975.97 is: 1,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.96 : 2,431.45 = 975.97 : x
  2. Step 2: Convert to fraction form
    1,761.96/2,431.45 = 975.97/x
  3. Step 3: Cross multiply
    1,761.96x = 2,431.45 × 975.97
  4. Step 4: Simplify right side
    1,761.96x = 2,373,022.26
  5. Step 5: Solve for x
    x = 2,373,022.26/1,761.96
  6. Step 6: Final answer
    x = 1,346.81

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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.