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Finding the Fourth Proportional to 3,884.76, 5,827.49 and 1,252.50

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Solution

The fourth proportional to 3,884.76, 5,827.49 and 1,252.50 is: 1,878.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.76 : 5,827.49 = 1,252.50 : x
  2. Step 2: Convert to fraction form
    3,884.76/5,827.49 = 1,252.50/x
  3. Step 3: Cross multiply
    3,884.76x = 5,827.49 × 1,252.50
  4. Step 4: Simplify right side
    3,884.76x = 7,298,907.81
  5. Step 5: Solve for x
    x = 7,298,907.81/3,884.76
  6. Step 6: Final answer
    x = 1,878.86

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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.