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Finding the Fourth Proportional to 8,292.87, 12,439.31 and 6,828.95

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Solution

The fourth proportional to 8,292.87, 12,439.31 and 6,828.95 is: 10,243.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.87 : 12,439.31 = 6,828.95 : x
  2. Step 2: Convert to fraction form
    8,292.87/12,439.31 = 6,828.95/x
  3. Step 3: Cross multiply
    8,292.87x = 12,439.31 × 6,828.95
  4. Step 4: Simplify right side
    8,292.87x = 84,947,426.02
  5. Step 5: Solve for x
    x = 84,947,426.02/8,292.87
  6. Step 6: Final answer
    x = 10,243.43

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1.5x scale

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.