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Finding the Fourth Proportional to 11,710.86, 16,161 and 6,406.18

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Solution

The fourth proportional to 11,710.86, 16,161 and 6,406.18 is: 8,840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.86 : 16,161 = 6,406.18 : x
  2. Step 2: Convert to fraction form
    11,710.86/16,161 = 6,406.18/x
  3. Step 3: Cross multiply
    11,710.86x = 16,161 × 6,406.18
  4. Step 4: Simplify right side
    11,710.86x = 103,530,274.98
  5. Step 5: Solve for x
    x = 103,530,274.98/11,710.86
  6. Step 6: Final answer
    x = 8,840.54

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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.