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Finding the Fourth Proportional to 11,651.46, 16,078.86 and 6,346.29

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Solution

The fourth proportional to 11,651.46, 16,078.86 and 6,346.29 is: 8,757.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.46 : 16,078.86 = 6,346.29 : x
  2. Step 2: Convert to fraction form
    11,651.46/16,078.86 = 6,346.29/x
  3. Step 3: Cross multiply
    11,651.46x = 16,078.86 × 6,346.29
  4. Step 4: Simplify right side
    11,651.46x = 102,041,108.43
  5. Step 5: Solve for x
    x = 102,041,108.43/11,651.46
  6. Step 6: Final answer
    x = 8,757.80

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Double scale
Find fourth proportional to 11,652.46, 16,080.24 and 6,347.29
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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.