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Finding the Fourth Proportional to 11,821.71, 16,314.07 and 6,516.71

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Solution

The fourth proportional to 11,821.71, 16,314.07 and 6,516.71 is: 8,993.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821.71 : 16,314.07 = 6,516.71 : x
  2. Step 2: Convert to fraction form
    11,821.71/16,314.07 = 6,516.71/x
  3. Step 3: Cross multiply
    11,821.71x = 16,314.07 × 6,516.71
  4. Step 4: Simplify right side
    11,821.71x = 106,314,130.41
  5. Step 5: Solve for x
    x = 106,314,130.41/11,821.71
  6. Step 6: Final answer
    x = 8,993.13

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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.