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Finding the Fourth Proportional to 6,488.56, 9,727.80 and 2,787.76

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Solution

The fourth proportional to 6,488.56, 9,727.80 and 2,787.76 is: 4,179.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.56 : 9,727.80 = 2,787.76 : x
  2. Step 2: Convert to fraction form
    6,488.56/9,727.80 = 2,787.76/x
  3. Step 3: Cross multiply
    6,488.56x = 9,727.80 × 2,787.76
  4. Step 4: Simplify right side
    6,488.56x = 27,118,771.73
  5. Step 5: Solve for x
    x = 27,118,771.73/6,488.56
  6. Step 6: Final answer
    x = 4,179.47

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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.