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Finding the Fourth Proportional to 20,579.78, 30,885.01 and 13,900.47

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Solution

The fourth proportional to 20,579.78, 30,885.01 and 13,900.47 is: 20,861.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,579.78 : 30,885.01 = 13,900.47 : x
  2. Step 2: Convert to fraction form
    20,579.78/30,885.01 = 13,900.47/x
  3. Step 3: Cross multiply
    20,579.78x = 30,885.01 × 13,900.47
  4. Step 4: Simplify right side
    20,579.78x = 429,316,120.20
  5. Step 5: Solve for x
    x = 429,316,120.20/20,579.78
  6. Step 6: Final answer
    x = 20,861.07

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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.