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Finding the Fourth Proportional to 2,358.12, 3,251.52 and 2,235

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Solution

The fourth proportional to 2,358.12, 3,251.52 and 2,235 is: 3,081.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.12 : 3,251.52 = 2,235 : x
  2. Step 2: Convert to fraction form
    2,358.12/3,251.52 = 2,235/x
  3. Step 3: Cross multiply
    2,358.12x = 3,251.52 × 2,235
  4. Step 4: Simplify right side
    2,358.12x = 7,267,147.20
  5. Step 5: Solve for x
    x = 7,267,147.20/2,358.12
  6. Step 6: Final answer
    x = 3,081.75

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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.