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Finding the Fourth Proportional to 3,869.91, 5,805.36 and 1,405.89

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Solution

The fourth proportional to 3,869.91, 5,805.36 and 1,405.89 is: 2,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.91 : 5,805.36 = 1,405.89 : x
  2. Step 2: Convert to fraction form
    3,869.91/5,805.36 = 1,405.89/x
  3. Step 3: Cross multiply
    3,869.91x = 5,805.36 × 1,405.89
  4. Step 4: Simplify right side
    3,869.91x = 8,161,697.57
  5. Step 5: Solve for x
    x = 8,161,697.57/3,869.91
  6. Step 6: Final answer
    x = 2,109.01

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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.