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Finding the Fourth Proportional to 11,911.92, 16,419.51 and 9,389.94

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Solution

The fourth proportional to 11,911.92, 16,419.51 and 9,389.94 is: 12,943.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.92 : 16,419.51 = 9,389.94 : x
  2. Step 2: Convert to fraction form
    11,911.92/16,419.51 = 9,389.94/x
  3. Step 3: Cross multiply
    11,911.92x = 16,419.51 × 9,389.94
  4. Step 4: Simplify right side
    11,911.92x = 154,178,213.73
  5. Step 5: Solve for x
    x = 154,178,213.73/11,911.92
  6. Step 6: Final answer
    x = 12,943.19

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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.