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Finding the Fourth Proportional to 11,853, 16,357.14 and 7,138.19

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Solution

The fourth proportional to 11,853, 16,357.14 and 7,138.19 is: 9,850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853 : 16,357.14 = 7,138.19 : x
  2. Step 2: Convert to fraction form
    11,853/16,357.14 = 7,138.19/x
  3. Step 3: Cross multiply
    11,853x = 16,357.14 × 7,138.19
  4. Step 4: Simplify right side
    11,853x = 116,760,414.07
  5. Step 5: Solve for x
    x = 116,760,414.07/11,853
  6. Step 6: Final answer
    x = 9,850.71

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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.