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Finding the Fourth Proportional to 1,755.51, 2,422.42 and 969.50

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Solution

The fourth proportional to 1,755.51, 2,422.42 and 969.50 is: 1,337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.51 : 2,422.42 = 969.50 : x
  2. Step 2: Convert to fraction form
    1,755.51/2,422.42 = 969.50/x
  3. Step 3: Cross multiply
    1,755.51x = 2,422.42 × 969.50
  4. Step 4: Simplify right side
    1,755.51x = 2,348,545.28
  5. Step 5: Solve for x
    x = 2,348,545.28/1,755.51
  6. Step 6: Final answer
    x = 1,337.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.