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Finding the Fourth Proportional to 1,952.42, 2,928.72 and 1,086.08

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Solution

The fourth proportional to 1,952.42, 2,928.72 and 1,086.08 is: 1,629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.42 : 2,928.72 = 1,086.08 : x
  2. Step 2: Convert to fraction form
    1,952.42/2,928.72 = 1,086.08/x
  3. Step 3: Cross multiply
    1,952.42x = 2,928.72 × 1,086.08
  4. Step 4: Simplify right side
    1,952.42x = 3,180,824.22
  5. Step 5: Solve for x
    x = 3,180,824.22/1,952.42
  6. Step 6: Final answer
    x = 1,629.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.