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Finding the Fourth Proportional to 11,686.00, 16,127.05 and 6,381.22

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Solution

The fourth proportional to 11,686.00, 16,127.05 and 6,381.22 is: 8,806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.00 : 16,127.05 = 6,381.22 : x
  2. Step 2: Convert to fraction form
    11,686.00/16,127.05 = 6,381.22/x
  3. Step 3: Cross multiply
    11,686.00x = 16,127.05 × 6,381.22
  4. Step 4: Simplify right side
    11,686.00x = 102,910,173.37
  5. Step 5: Solve for x
    x = 102,910,173.37/11,686.00
  6. Step 6: Final answer
    x = 8,806.28

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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.