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Finding the Fourth Proportional to 7,816.78, 10,787.04 and 4,231.66

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Solution

The fourth proportional to 7,816.78, 10,787.04 and 4,231.66 is: 5,839.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.78 : 10,787.04 = 4,231.66 : x
  2. Step 2: Convert to fraction form
    7,816.78/10,787.04 = 4,231.66/x
  3. Step 3: Cross multiply
    7,816.78x = 10,787.04 × 4,231.66
  4. Step 4: Simplify right side
    7,816.78x = 45,647,085.69
  5. Step 5: Solve for x
    x = 45,647,085.69/7,816.78
  6. Step 6: Final answer
    x = 5,839.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.