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Finding the Fourth Proportional to 11,641.86, 16,080.26 and 8,450.10

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Solution

The fourth proportional to 11,641.86, 16,080.26 and 8,450.10 is: 11,671.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.86 : 16,080.26 = 8,450.10 : x
  2. Step 2: Convert to fraction form
    11,641.86/16,080.26 = 8,450.10/x
  3. Step 3: Cross multiply
    11,641.86x = 16,080.26 × 8,450.10
  4. Step 4: Simplify right side
    11,641.86x = 135,879,762.78
  5. Step 5: Solve for x
    x = 135,879,762.78/11,641.86
  6. Step 6: Final answer
    x = 11,671.65

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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.