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Finding the Fourth Proportional to 11,998.66, 16,557.11 and 7,749.90

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Solution

The fourth proportional to 11,998.66, 16,557.11 and 7,749.90 is: 10,694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.66 : 16,557.11 = 7,749.90 : x
  2. Step 2: Convert to fraction form
    11,998.66/16,557.11 = 7,749.90/x
  3. Step 3: Cross multiply
    11,998.66x = 16,557.11 × 7,749.90
  4. Step 4: Simplify right side
    11,998.66x = 128,315,946.79
  5. Step 5: Solve for x
    x = 128,315,946.79/11,998.66
  6. Step 6: Final answer
    x = 10,694.19

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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.