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Finding the Fourth Proportional to 11,897.35, 16,391.91 and 7,857

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Solution

The fourth proportional to 11,897.35, 16,391.91 and 7,857 is: 10,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.35 : 16,391.91 = 7,857 : x
  2. Step 2: Convert to fraction form
    11,897.35/16,391.91 = 7,857/x
  3. Step 3: Cross multiply
    11,897.35x = 16,391.91 × 7,857
  4. Step 4: Simplify right side
    11,897.35x = 128,791,236.87
  5. Step 5: Solve for x
    x = 128,791,236.87/11,897.35
  6. Step 6: Final answer
    x = 10,825.20

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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.