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Finding the Fourth Proportional to 9,997.29, 13,806.99 and 8,897.85

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Solution

The fourth proportional to 9,997.29, 13,806.99 and 8,897.85 is: 12,288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.29 : 13,806.99 = 8,897.85 : x
  2. Step 2: Convert to fraction form
    9,997.29/13,806.99 = 8,897.85/x
  3. Step 3: Cross multiply
    9,997.29x = 13,806.99 × 8,897.85
  4. Step 4: Simplify right side
    9,997.29x = 122,852,525.97
  5. Step 5: Solve for x
    x = 122,852,525.97/9,997.29
  6. Step 6: Final answer
    x = 12,288.58

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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.