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Finding the Fourth Proportional to 1,755.38, 2,422.43 and 969.50

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Solution

The fourth proportional to 1,755.38, 2,422.43 and 969.50 is: 1,337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.38 : 2,422.43 = 969.50 : x
  2. Step 2: Convert to fraction form
    1,755.38/2,422.43 = 969.50/x
  3. Step 3: Cross multiply
    1,755.38x = 2,422.43 × 969.50
  4. Step 4: Simplify right side
    1,755.38x = 2,348,528.93
  5. Step 5: Solve for x
    x = 2,348,528.93/1,755.38
  6. Step 6: Final answer
    x = 1,337.91

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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.