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Finding the Fourth Proportional to 2,155.66, 3,234.66 and 857.14

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Solution

The fourth proportional to 2,155.66, 3,234.66 and 857.14 is: 1,286.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.66 : 3,234.66 = 857.14 : x
  2. Step 2: Convert to fraction form
    2,155.66/3,234.66 = 857.14/x
  3. Step 3: Cross multiply
    2,155.66x = 3,234.66 × 857.14
  4. Step 4: Simplify right side
    2,155.66x = 2,772,556.47
  5. Step 5: Solve for x
    x = 2,772,556.47/2,155.66
  6. Step 6: Final answer
    x = 1,286.18

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Why These Related Problems?

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