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Finding the Fourth Proportional to 3,807.70, 5,711.76 and 2,152.39

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Solution

The fourth proportional to 3,807.70, 5,711.76 and 2,152.39 is: 3,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.70 : 5,711.76 = 2,152.39 : x
  2. Step 2: Convert to fraction form
    3,807.70/5,711.76 = 2,152.39/x
  3. Step 3: Cross multiply
    3,807.70x = 5,711.76 × 2,152.39
  4. Step 4: Simplify right side
    3,807.70x = 12,293,935.11
  5. Step 5: Solve for x
    x = 12,293,935.11/3,807.70
  6. Step 6: Final answer
    x = 3,228.70

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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.