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Finding the Fourth Proportional to 12,641.82, 18,967.05 and 6,481.50

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Solution

The fourth proportional to 12,641.82, 18,967.05 and 6,481.50 is: 9,724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.82 : 18,967.05 = 6,481.50 : x
  2. Step 2: Convert to fraction form
    12,641.82/18,967.05 = 6,481.50/x
  3. Step 3: Cross multiply
    12,641.82x = 18,967.05 × 6,481.50
  4. Step 4: Simplify right side
    12,641.82x = 122,934,934.58
  5. Step 5: Solve for x
    x = 122,934,934.58/12,641.82
  6. Step 6: Final answer
    x = 9,724.46

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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.