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Finding the Fourth Proportional to 1,793, 2,688.78 and 867.80

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Solution

The fourth proportional to 1,793, 2,688.78 and 867.80 is: 1,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793 : 2,688.78 = 867.80 : x
  2. Step 2: Convert to fraction form
    1,793/2,688.78 = 867.80/x
  3. Step 3: Cross multiply
    1,793x = 2,688.78 × 867.80
  4. Step 4: Simplify right side
    1,793x = 2,333,323.28
  5. Step 5: Solve for x
    x = 2,333,323.28/1,793
  6. Step 6: Final answer
    x = 1,301.35

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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.