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Finding the Fourth Proportional to 20,209.96, 27,887.16 and 11,712

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Solution

The fourth proportional to 20,209.96, 27,887.16 and 11,712 is: 16,161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,209.96 : 27,887.16 = 11,712 : x
  2. Step 2: Convert to fraction form
    20,209.96/27,887.16 = 11,712/x
  3. Step 3: Cross multiply
    20,209.96x = 27,887.16 × 11,712
  4. Step 4: Simplify right side
    20,209.96x = 326,614,417.92
  5. Step 5: Solve for x
    x = 326,614,417.92/20,209.96
  6. Step 6: Final answer
    x = 16,161.06

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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.