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Finding the Fourth Proportional to 2,158.68, 3,238.56 and 1,235.28

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Solution

The fourth proportional to 2,158.68, 3,238.56 and 1,235.28 is: 1,853.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.68 : 3,238.56 = 1,235.28 : x
  2. Step 2: Convert to fraction form
    2,158.68/3,238.56 = 1,235.28/x
  3. Step 3: Cross multiply
    2,158.68x = 3,238.56 × 1,235.28
  4. Step 4: Simplify right side
    2,158.68x = 4,000,528.40
  5. Step 5: Solve for x
    x = 4,000,528.40/2,158.68
  6. Step 6: Final answer
    x = 1,853.23

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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.