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Finding the Fourth Proportional to 7,811.79, 10,782.08 and 4,787.82

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Solution

The fourth proportional to 7,811.79, 10,782.08 and 4,787.82 is: 6,608.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.79 : 10,782.08 = 4,787.82 : x
  2. Step 2: Convert to fraction form
    7,811.79/10,782.08 = 4,787.82/x
  3. Step 3: Cross multiply
    7,811.79x = 10,782.08 × 4,787.82
  4. Step 4: Simplify right side
    7,811.79x = 51,622,634.33
  5. Step 5: Solve for x
    x = 51,622,634.33/7,811.79
  6. Step 6: Final answer
    x = 6,608.30

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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.