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Finding the Fourth Proportional to 3,807.38, 5,711.90 and 1,617.98

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Solution

The fourth proportional to 3,807.38, 5,711.90 and 1,617.98 is: 2,427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.38 : 5,711.90 = 1,617.98 : x
  2. Step 2: Convert to fraction form
    3,807.38/5,711.90 = 1,617.98/x
  3. Step 3: Cross multiply
    3,807.38x = 5,711.90 × 1,617.98
  4. Step 4: Simplify right side
    3,807.38x = 9,241,715.45
  5. Step 5: Solve for x
    x = 9,241,715.45/3,807.38
  6. Step 6: Final answer
    x = 2,427.32

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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.