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Finding the Fourth Proportional to 3,869.61, 5,800.89 and 1,403.89

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Solution

The fourth proportional to 3,869.61, 5,800.89 and 1,403.89 is: 2,104.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.61 : 5,800.89 = 1,403.89 : x
  2. Step 2: Convert to fraction form
    3,869.61/5,800.89 = 1,403.89/x
  3. Step 3: Cross multiply
    3,869.61x = 5,800.89 × 1,403.89
  4. Step 4: Simplify right side
    3,869.61x = 8,143,775.44
  5. Step 5: Solve for x
    x = 8,143,775.44/3,869.61
  6. Step 6: Final answer
    x = 2,104.55

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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.