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Finding the Fourth Proportional to 2,335.38, 3,502.22 and 775.10

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Solution

The fourth proportional to 2,335.38, 3,502.22 and 775.10 is: 1,162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.38 : 3,502.22 = 775.10 : x
  2. Step 2: Convert to fraction form
    2,335.38/3,502.22 = 775.10/x
  3. Step 3: Cross multiply
    2,335.38x = 3,502.22 × 775.10
  4. Step 4: Simplify right side
    2,335.38x = 2,714,570.72
  5. Step 5: Solve for x
    x = 2,714,570.72/2,335.38
  6. Step 6: Final answer
    x = 1,162.37

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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.