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Finding the Fourth Proportional to 3,869.91, 5,804.85 and 1,561.41

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Solution

The fourth proportional to 3,869.91, 5,804.85 and 1,561.41 is: 2,342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.91 : 5,804.85 = 1,561.41 : x
  2. Step 2: Convert to fraction form
    3,869.91/5,804.85 = 1,561.41/x
  3. Step 3: Cross multiply
    3,869.91x = 5,804.85 × 1,561.41
  4. Step 4: Simplify right side
    3,869.91x = 9,063,750.84
  5. Step 5: Solve for x
    x = 9,063,750.84/3,869.91
  6. Step 6: Final answer
    x = 2,342.11

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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.