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Finding the Fourth Proportional to 3,855.76, 5,323.23 and 2,531.78

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Solution

The fourth proportional to 3,855.76, 5,323.23 and 2,531.78 is: 3,495.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.76 : 5,323.23 = 2,531.78 : x
  2. Step 2: Convert to fraction form
    3,855.76/5,323.23 = 2,531.78/x
  3. Step 3: Cross multiply
    3,855.76x = 5,323.23 × 2,531.78
  4. Step 4: Simplify right side
    3,855.76x = 13,477,247.25
  5. Step 5: Solve for x
    x = 13,477,247.25/3,855.76
  6. Step 6: Final answer
    x = 3,495.35

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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.