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Finding the Fourth Proportional to 1,701.50, 2,538.88 and 1,468.22

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Solution

The fourth proportional to 1,701.50, 2,538.88 and 1,468.22 is: 2,190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.50 : 2,538.88 = 1,468.22 : x
  2. Step 2: Convert to fraction form
    1,701.50/2,538.88 = 1,468.22/x
  3. Step 3: Cross multiply
    1,701.50x = 2,538.88 × 1,468.22
  4. Step 4: Simplify right side
    1,701.50x = 3,727,634.39
  5. Step 5: Solve for x
    x = 3,727,634.39/1,701.50
  6. Step 6: Final answer
    x = 2,190.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.