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Finding the Fourth Proportional to 6,856.25, 10,267.97 and 6,511.79

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Solution

The fourth proportional to 6,856.25, 10,267.97 and 6,511.79 is: 9,752.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.25 : 10,267.97 = 6,511.79 : x
  2. Step 2: Convert to fraction form
    6,856.25/10,267.97 = 6,511.79/x
  3. Step 3: Cross multiply
    6,856.25x = 10,267.97 × 6,511.79
  4. Step 4: Simplify right side
    6,856.25x = 66,862,857.48
  5. Step 5: Solve for x
    x = 66,862,857.48/6,856.25
  6. Step 6: Final answer
    x = 9,752.11

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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.