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Finding the Fourth Proportional to 8,292.85, 12,439.24 and 6,828.91

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Solution

The fourth proportional to 8,292.85, 12,439.24 and 6,828.91 is: 10,243.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.85 : 12,439.24 = 6,828.91 : x
  2. Step 2: Convert to fraction form
    8,292.85/12,439.24 = 6,828.91/x
  3. Step 3: Cross multiply
    8,292.85x = 12,439.24 × 6,828.91
  4. Step 4: Simplify right side
    8,292.85x = 84,946,402.26
  5. Step 5: Solve for x
    x = 84,946,402.26/8,292.85
  6. Step 6: Final answer
    x = 10,243.33

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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.