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Finding the Fourth Proportional to 11,755.13, 16,222.07 and 7,042.14

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Solution

The fourth proportional to 11,755.13, 16,222.07 and 7,042.14 is: 9,718.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.13 : 16,222.07 = 7,042.14 : x
  2. Step 2: Convert to fraction form
    11,755.13/16,222.07 = 7,042.14/x
  3. Step 3: Cross multiply
    11,755.13x = 16,222.07 × 7,042.14
  4. Step 4: Simplify right side
    11,755.13x = 114,238,105.64
  5. Step 5: Solve for x
    x = 114,238,105.64/11,755.13
  6. Step 6: Final answer
    x = 9,718.15

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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.