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Finding the Fourth Proportional to 12,494.40, 18,736.10 and 6,649.62

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Solution

The fourth proportional to 12,494.40, 18,736.10 and 6,649.62 is: 9,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.40 : 18,736.10 = 6,649.62 : x
  2. Step 2: Convert to fraction form
    12,494.40/18,736.10 = 6,649.62/x
  3. Step 3: Cross multiply
    12,494.40x = 18,736.10 × 6,649.62
  4. Step 4: Simplify right side
    12,494.40x = 124,587,945.28
  5. Step 5: Solve for x
    x = 124,587,945.28/12,494.40
  6. Step 6: Final answer
    x = 9,971.50

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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.