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Finding the Fourth Proportional to 1,571.83, 2,169.26 and 873.25

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Solution

The fourth proportional to 1,571.83, 2,169.26 and 873.25 is: 1,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.83 : 2,169.26 = 873.25 : x
  2. Step 2: Convert to fraction form
    1,571.83/2,169.26 = 873.25/x
  3. Step 3: Cross multiply
    1,571.83x = 2,169.26 × 873.25
  4. Step 4: Simplify right side
    1,571.83x = 1,894,306.30
  5. Step 5: Solve for x
    x = 1,894,306.30/1,571.83
  6. Step 6: Final answer
    x = 1,205.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.