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Finding the Fourth Proportional to 3,869.41, 5,807.19 and 1,404.94

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Solution

The fourth proportional to 3,869.41, 5,807.19 and 1,404.94 is: 2,108.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.41 : 5,807.19 = 1,404.94 : x
  2. Step 2: Convert to fraction form
    3,869.41/5,807.19 = 1,404.94/x
  3. Step 3: Cross multiply
    3,869.41x = 5,807.19 × 1,404.94
  4. Step 4: Simplify right side
    3,869.41x = 8,158,753.52
  5. Step 5: Solve for x
    x = 8,158,753.52/3,869.41
  6. Step 6: Final answer
    x = 2,108.53

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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.