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Finding the Fourth Proportional to 2,335.08, 3,502.20 and 1,164.69

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Solution

The fourth proportional to 2,335.08, 3,502.20 and 1,164.69 is: 1,746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.08 : 3,502.20 = 1,164.69 : x
  2. Step 2: Convert to fraction form
    2,335.08/3,502.20 = 1,164.69/x
  3. Step 3: Cross multiply
    2,335.08x = 3,502.20 × 1,164.69
  4. Step 4: Simplify right side
    2,335.08x = 4,078,977.32
  5. Step 5: Solve for x
    x = 4,078,977.32/2,335.08
  6. Step 6: Final answer
    x = 1,746.83

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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.