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Finding the Fourth Proportional to 11,715.69, 16,168 and 6,410.87

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Solution

The fourth proportional to 11,715.69, 16,168 and 6,410.87 is: 8,847.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.69 : 16,168 = 6,410.87 : x
  2. Step 2: Convert to fraction form
    11,715.69/16,168 = 6,410.87/x
  3. Step 3: Cross multiply
    11,715.69x = 16,168 × 6,410.87
  4. Step 4: Simplify right side
    11,715.69x = 103,650,865.32
  5. Step 5: Solve for x
    x = 103,650,865.32/11,715.69
  6. Step 6: Final answer
    x = 8,847.18

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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.