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Finding the Fourth Proportional to 11,715, 16,166.94 and 6,409.93

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Solution

The fourth proportional to 11,715, 16,166.94 and 6,409.93 is: 8,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715 : 16,166.94 = 6,409.93 : x
  2. Step 2: Convert to fraction form
    11,715/16,166.94 = 6,409.93/x
  3. Step 3: Cross multiply
    11,715x = 16,166.94 × 6,409.93
  4. Step 4: Simplify right side
    11,715x = 103,628,953.71
  5. Step 5: Solve for x
    x = 103,628,953.71/11,715
  6. Step 6: Final answer
    x = 8,845.83

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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.