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Finding the Fourth Proportional to 13,885.78, 20,780.23 and 11,357.74

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Solution

The fourth proportional to 13,885.78, 20,780.23 and 11,357.74 is: 16,996.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.78 : 20,780.23 = 11,357.74 : x
  2. Step 2: Convert to fraction form
    13,885.78/20,780.23 = 11,357.74/x
  3. Step 3: Cross multiply
    13,885.78x = 20,780.23 × 11,357.74
  4. Step 4: Simplify right side
    13,885.78x = 236,016,468.36
  5. Step 5: Solve for x
    x = 236,016,468.36/13,885.78
  6. Step 6: Final answer
    x = 16,996.99

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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.