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Finding the Fourth Proportional to 18,882.18, 28,323.07 and 7,785.59

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Solution

The fourth proportional to 18,882.18, 28,323.07 and 7,785.59 is: 11,678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,882.18 : 28,323.07 = 7,785.59 : x
  2. Step 2: Convert to fraction form
    18,882.18/28,323.07 = 7,785.59/x
  3. Step 3: Cross multiply
    18,882.18x = 28,323.07 × 7,785.59
  4. Step 4: Simplify right side
    18,882.18x = 220,511,649.48
  5. Step 5: Solve for x
    x = 220,511,649.48/18,882.18
  6. Step 6: Final answer
    x = 11,678.29

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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.