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Finding the Fourth Proportional to 8,292.36, 12,438.54 and 6,828.44

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Solution

The fourth proportional to 8,292.36, 12,438.54 and 6,828.44 is: 10,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.36 : 12,438.54 = 6,828.44 : x
  2. Step 2: Convert to fraction form
    8,292.36/12,438.54 = 6,828.44/x
  3. Step 3: Cross multiply
    8,292.36x = 12,438.54 × 6,828.44
  4. Step 4: Simplify right side
    8,292.36x = 84,935,761.88
  5. Step 5: Solve for x
    x = 84,935,761.88/8,292.36
  6. Step 6: Final answer
    x = 10,242.65

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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.