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Finding the Fourth Proportional to 7,824.77, 11,737.16 and 2,891.87

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Solution

The fourth proportional to 7,824.77, 11,737.16 and 2,891.87 is: 4,337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.77 : 11,737.16 = 2,891.87 : x
  2. Step 2: Convert to fraction form
    7,824.77/11,737.16 = 2,891.87/x
  3. Step 3: Cross multiply
    7,824.77x = 11,737.16 × 2,891.87
  4. Step 4: Simplify right side
    7,824.77x = 33,942,267.74
  5. Step 5: Solve for x
    x = 33,942,267.74/7,824.77
  6. Step 6: Final answer
    x = 4,337.80

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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.