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Finding the Fourth Proportional to 22,189.68, 30,615 and 13,357.68

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Solution

The fourth proportional to 22,189.68, 30,615 and 13,357.68 is: 18,429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,189.68 : 30,615 = 13,357.68 : x
  2. Step 2: Convert to fraction form
    22,189.68/30,615 = 13,357.68/x
  3. Step 3: Cross multiply
    22,189.68x = 30,615 × 13,357.68
  4. Step 4: Simplify right side
    22,189.68x = 408,945,373.20
  5. Step 5: Solve for x
    x = 408,945,373.20/22,189.68
  6. Step 6: Final answer
    x = 18,429.53

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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.