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Finding the Fourth Proportional to 1,755.44, 2,419.71 and 1,381.83

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Solution

The fourth proportional to 1,755.44, 2,419.71 and 1,381.83 is: 1,904.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.44 : 2,419.71 = 1,381.83 : x
  2. Step 2: Convert to fraction form
    1,755.44/2,419.71 = 1,381.83/x
  3. Step 3: Cross multiply
    1,755.44x = 2,419.71 × 1,381.83
  4. Step 4: Simplify right side
    1,755.44x = 3,343,613.61
  5. Step 5: Solve for x
    x = 3,343,613.61/1,755.44
  6. Step 6: Final answer
    x = 1,904.72

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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.