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Finding the Fourth Proportional to 6,787.97, 9,365.76 and 3,953.63

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Solution

The fourth proportional to 6,787.97, 9,365.76 and 3,953.63 is: 5,455.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.97 : 9,365.76 = 3,953.63 : x
  2. Step 2: Convert to fraction form
    6,787.97/9,365.76 = 3,953.63/x
  3. Step 3: Cross multiply
    6,787.97x = 9,365.76 × 3,953.63
  4. Step 4: Simplify right side
    6,787.97x = 37,028,702.88
  5. Step 5: Solve for x
    x = 37,028,702.88/6,787.97
  6. Step 6: Final answer
    x = 5,455.05

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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.