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Finding the Fourth Proportional to 8,787.84, 13,165.20 and 6,830.52

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Solution

The fourth proportional to 8,787.84, 13,165.20 and 6,830.52 is: 10,232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,787.84 : 13,165.20 = 6,830.52 : x
  2. Step 2: Convert to fraction form
    8,787.84/13,165.20 = 6,830.52/x
  3. Step 3: Cross multiply
    8,787.84x = 13,165.20 × 6,830.52
  4. Step 4: Simplify right side
    8,787.84x = 89,925,161.90
  5. Step 5: Solve for x
    x = 89,925,161.90/8,787.84
  6. Step 6: Final answer
    x = 10,232.91

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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.