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Finding the Fourth Proportional to 6,129.86, 8,461.64 and 3,892.97

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Solution

The fourth proportional to 6,129.86, 8,461.64 and 3,892.97 is: 5,373.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.86 : 8,461.64 = 3,892.97 : x
  2. Step 2: Convert to fraction form
    6,129.86/8,461.64 = 3,892.97/x
  3. Step 3: Cross multiply
    6,129.86x = 8,461.64 × 3,892.97
  4. Step 4: Simplify right side
    6,129.86x = 32,940,942.51
  5. Step 5: Solve for x
    x = 32,940,942.51/6,129.86
  6. Step 6: Final answer
    x = 5,373.84

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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.