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Finding the Fourth Proportional to 11,661.76, 16,098.78 and 7,189.21

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Solution

The fourth proportional to 11,661.76, 16,098.78 and 7,189.21 is: 9,924.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.76 : 16,098.78 = 7,189.21 : x
  2. Step 2: Convert to fraction form
    11,661.76/16,098.78 = 7,189.21/x
  3. Step 3: Cross multiply
    11,661.76x = 16,098.78 × 7,189.21
  4. Step 4: Simplify right side
    11,661.76x = 115,737,510.16
  5. Step 5: Solve for x
    x = 115,737,510.16/11,661.76
  6. Step 6: Final answer
    x = 9,924.53

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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.