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Finding the Fourth Proportional to 11,897, 16,417.86 and 6,929

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Solution

The fourth proportional to 11,897, 16,417.86 and 6,929 is: 9,562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897 : 16,417.86 = 6,929 : x
  2. Step 2: Convert to fraction form
    11,897/16,417.86 = 6,929/x
  3. Step 3: Cross multiply
    11,897x = 16,417.86 × 6,929
  4. Step 4: Simplify right side
    11,897x = 113,759,351.94
  5. Step 5: Solve for x
    x = 113,759,351.94/11,897
  6. Step 6: Final answer
    x = 9,562.02

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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.