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Finding the Fourth Proportional to 12,906.88, 17,812.08 and 7,601.92

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Solution

The fourth proportional to 12,906.88, 17,812.08 and 7,601.92 is: 10,490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.88 : 17,812.08 = 7,601.92 : x
  2. Step 2: Convert to fraction form
    12,906.88/17,812.08 = 7,601.92/x
  3. Step 3: Cross multiply
    12,906.88x = 17,812.08 × 7,601.92
  4. Step 4: Simplify right side
    12,906.88x = 135,406,007.19
  5. Step 5: Solve for x
    x = 135,406,007.19/12,906.88
  6. Step 6: Final answer
    x = 10,490.99

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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.