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Finding the Fourth Proportional to 17,828, 24,601.68 and 9,869.84

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Solution

The fourth proportional to 17,828, 24,601.68 and 9,869.84 is: 13,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,828 : 24,601.68 = 9,869.84 : x
  2. Step 2: Convert to fraction form
    17,828/24,601.68 = 9,869.84/x
  3. Step 3: Cross multiply
    17,828x = 24,601.68 × 9,869.84
  4. Step 4: Simplify right side
    17,828x = 242,814,645.33
  5. Step 5: Solve for x
    x = 242,814,645.33/17,828
  6. Step 6: Final answer
    x = 13,619.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.