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Finding the Fourth Proportional to 3,802.52, 5,267.78 and 3,711.80

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Solution

The fourth proportional to 3,802.52, 5,267.78 and 3,711.80 is: 5,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.52 : 5,267.78 = 3,711.80 : x
  2. Step 2: Convert to fraction form
    3,802.52/5,267.78 = 3,711.80/x
  3. Step 3: Cross multiply
    3,802.52x = 5,267.78 × 3,711.80
  4. Step 4: Simplify right side
    3,802.52x = 19,552,945.80
  5. Step 5: Solve for x
    x = 19,552,945.80/3,802.52
  6. Step 6: Final answer
    x = 5,142.10

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.