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Finding the Fourth Proportional to 2,354.19, 3,531.53 and 873.80

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Solution

The fourth proportional to 2,354.19, 3,531.53 and 873.80 is: 1,310.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.19 : 3,531.53 = 873.80 : x
  2. Step 2: Convert to fraction form
    2,354.19/3,531.53 = 873.80/x
  3. Step 3: Cross multiply
    2,354.19x = 3,531.53 × 873.80
  4. Step 4: Simplify right side
    2,354.19x = 3,085,855.37
  5. Step 5: Solve for x
    x = 3,085,855.37/2,354.19
  6. Step 6: Final answer
    x = 1,310.79

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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.