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Finding the Fourth Proportional to 5,265.77, 7,902.74 and 1,981.85

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Solution

The fourth proportional to 5,265.77, 7,902.74 and 1,981.85 is: 2,974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.77 : 7,902.74 = 1,981.85 : x
  2. Step 2: Convert to fraction form
    5,265.77/7,902.74 = 1,981.85/x
  3. Step 3: Cross multiply
    5,265.77x = 7,902.74 × 1,981.85
  4. Step 4: Simplify right side
    5,265.77x = 15,662,035.36
  5. Step 5: Solve for x
    x = 15,662,035.36/5,265.77
  6. Step 6: Final answer
    x = 2,974.31

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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.