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Finding the Fourth Proportional to 8,427.78, 12,641.67 and 4,724.46

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Solution

The fourth proportional to 8,427.78, 12,641.67 and 4,724.46 is: 7,086.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.78 : 12,641.67 = 4,724.46 : x
  2. Step 2: Convert to fraction form
    8,427.78/12,641.67 = 4,724.46/x
  3. Step 3: Cross multiply
    8,427.78x = 12,641.67 × 4,724.46
  4. Step 4: Simplify right side
    8,427.78x = 59,725,064.25
  5. Step 5: Solve for x
    x = 59,725,064.25/8,427.78
  6. Step 6: Final answer
    x = 7,086.69

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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.