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Finding the Fourth Proportional to 3,807.61, 5,713.23 and 2,491.05

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Solution

The fourth proportional to 3,807.61, 5,713.23 and 2,491.05 is: 3,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.61 : 5,713.23 = 2,491.05 : x
  2. Step 2: Convert to fraction form
    3,807.61/5,713.23 = 2,491.05/x
  3. Step 3: Cross multiply
    3,807.61x = 5,713.23 × 2,491.05
  4. Step 4: Simplify right side
    3,807.61x = 14,231,972.36
  5. Step 5: Solve for x
    x = 14,231,972.36/3,807.61
  6. Step 6: Final answer
    x = 3,737.77

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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.