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Finding the Fourth Proportional to 9,787.74, 14,680.08 and 3,213.87

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Solution

The fourth proportional to 9,787.74, 14,680.08 and 3,213.87 is: 4,820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.74 : 14,680.08 = 3,213.87 : x
  2. Step 2: Convert to fraction form
    9,787.74/14,680.08 = 3,213.87/x
  3. Step 3: Cross multiply
    9,787.74x = 14,680.08 × 3,213.87
  4. Step 4: Simplify right side
    9,787.74x = 47,179,868.71
  5. Step 5: Solve for x
    x = 47,179,868.71/9,787.74
  6. Step 6: Final answer
    x = 4,820.30

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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.