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Finding the Fourth Proportional to 2,155.66, 3,233.50 and 857.13

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Solution

The fourth proportional to 2,155.66, 3,233.50 and 857.13 is: 1,285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.66 : 3,233.50 = 857.13 : x
  2. Step 2: Convert to fraction form
    2,155.66/3,233.50 = 857.13/x
  3. Step 3: Cross multiply
    2,155.66x = 3,233.50 × 857.13
  4. Step 4: Simplify right side
    2,155.66x = 2,771,513.69
  5. Step 5: Solve for x
    x = 2,771,513.69/2,155.66
  6. Step 6: Final answer
    x = 1,285.69

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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.