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Finding the Fourth Proportional to 12,649.40, 18,974.10 and 11,785.40

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Solution

The fourth proportional to 12,649.40, 18,974.10 and 11,785.40 is: 17,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.40 : 18,974.10 = 11,785.40 : x
  2. Step 2: Convert to fraction form
    12,649.40/18,974.10 = 11,785.40/x
  3. Step 3: Cross multiply
    12,649.40x = 18,974.10 × 11,785.40
  4. Step 4: Simplify right side
    12,649.40x = 223,617,358.14
  5. Step 5: Solve for x
    x = 223,617,358.14/12,649.40
  6. Step 6: Final answer
    x = 17,678.10

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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.