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Finding the Fourth Proportional to 11,774.70, 16,209.41 and 10,203.09

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Solution

The fourth proportional to 11,774.70, 16,209.41 and 10,203.09 is: 14,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.70 : 16,209.41 = 10,203.09 : x
  2. Step 2: Convert to fraction form
    11,774.70/16,209.41 = 10,203.09/x
  3. Step 3: Cross multiply
    11,774.70x = 16,209.41 × 10,203.09
  4. Step 4: Simplify right side
    11,774.70x = 165,386,018.06
  5. Step 5: Solve for x
    x = 165,386,018.06/11,774.70
  6. Step 6: Final answer
    x = 14,045.88

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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.