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Finding the Fourth Proportional to 2,381.52, 3,571.68 and 842.52

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Solution

The fourth proportional to 2,381.52, 3,571.68 and 842.52 is: 1,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.52 : 3,571.68 = 842.52 : x
  2. Step 2: Convert to fraction form
    2,381.52/3,571.68 = 842.52/x
  3. Step 3: Cross multiply
    2,381.52x = 3,571.68 × 842.52
  4. Step 4: Simplify right side
    2,381.52x = 3,009,211.83
  5. Step 5: Solve for x
    x = 3,009,211.83/2,381.52
  6. Step 6: Final answer
    x = 1,263.57

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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.