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Finding the Fourth Proportional to 12,489.36, 18,711.48 and 7,807.14

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Solution

The fourth proportional to 12,489.36, 18,711.48 and 7,807.14 is: 11,696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,489.36 : 18,711.48 = 7,807.14 : x
  2. Step 2: Convert to fraction form
    12,489.36/18,711.48 = 7,807.14/x
  3. Step 3: Cross multiply
    12,489.36x = 18,711.48 × 7,807.14
  4. Step 4: Simplify right side
    12,489.36x = 146,083,143.97
  5. Step 5: Solve for x
    x = 146,083,143.97/12,489.36
  6. Step 6: Final answer
    x = 11,696.61

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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.