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Finding the Fourth Proportional to 8,285.25, 12,427.87 and 6,821.32

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Solution

The fourth proportional to 8,285.25, 12,427.87 and 6,821.32 is: 10,231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.25 : 12,427.87 = 6,821.32 : x
  2. Step 2: Convert to fraction form
    8,285.25/12,427.87 = 6,821.32/x
  3. Step 3: Cross multiply
    8,285.25x = 12,427.87 × 6,821.32
  4. Step 4: Simplify right side
    8,285.25x = 84,774,501.11
  5. Step 5: Solve for x
    x = 84,774,501.11/8,285.25
  6. Step 6: Final answer
    x = 10,231.98

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Similar ratio
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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.