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Finding the Fourth Proportional to 12,892.92, 19,346.82 and 6,969.84

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Solution

The fourth proportional to 12,892.92, 19,346.82 and 6,969.84 is: 10,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.92 : 19,346.82 = 6,969.84 : x
  2. Step 2: Convert to fraction form
    12,892.92/19,346.82 = 6,969.84/x
  3. Step 3: Cross multiply
    12,892.92x = 19,346.82 × 6,969.84
  4. Step 4: Simplify right side
    12,892.92x = 134,844,239.91
  5. Step 5: Solve for x
    x = 134,844,239.91/12,892.92
  6. Step 6: Final answer
    x = 10,458.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.