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Finding the Fourth Proportional to 8,539.64, 12,792.36 and 6,787.52

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Solution

The fourth proportional to 8,539.64, 12,792.36 and 6,787.52 is: 10,167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.64 : 12,792.36 = 6,787.52 : x
  2. Step 2: Convert to fraction form
    8,539.64/12,792.36 = 6,787.52/x
  3. Step 3: Cross multiply
    8,539.64x = 12,792.36 × 6,787.52
  4. Step 4: Simplify right side
    8,539.64x = 86,828,399.35
  5. Step 5: Solve for x
    x = 86,828,399.35/8,539.64
  6. Step 6: Final answer
    x = 10,167.69

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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.