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Finding the Fourth Proportional to 8,266.77, 12,400.17 and 6,802.86

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Solution

The fourth proportional to 8,266.77, 12,400.17 and 6,802.86 is: 10,204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.77 : 12,400.17 = 6,802.86 : x
  2. Step 2: Convert to fraction form
    8,266.77/12,400.17 = 6,802.86/x
  3. Step 3: Cross multiply
    8,266.77x = 12,400.17 × 6,802.86
  4. Step 4: Simplify right side
    8,266.77x = 84,356,620.49
  5. Step 5: Solve for x
    x = 84,356,620.49/8,266.77
  6. Step 6: Final answer
    x = 10,204.30

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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.