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Finding the Fourth Proportional to 20,578, 28,404.12 and 13,126

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Solution

The fourth proportional to 20,578, 28,404.12 and 13,126 is: 18,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578 : 28,404.12 = 13,126 : x
  2. Step 2: Convert to fraction form
    20,578/28,404.12 = 13,126/x
  3. Step 3: Cross multiply
    20,578x = 28,404.12 × 13,126
  4. Step 4: Simplify right side
    20,578x = 372,832,479.12
  5. Step 5: Solve for x
    x = 372,832,479.12/20,578
  6. Step 6: Final answer
    x = 18,118.01

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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.