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Finding the Fourth Proportional to 13,231.74, 18,259.17 and 7,929.48

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Solution

The fourth proportional to 13,231.74, 18,259.17 and 7,929.48 is: 10,942.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,231.74 : 18,259.17 = 7,929.48 : x
  2. Step 2: Convert to fraction form
    13,231.74/18,259.17 = 7,929.48/x
  3. Step 3: Cross multiply
    13,231.74x = 18,259.17 × 7,929.48
  4. Step 4: Simplify right side
    13,231.74x = 144,785,723.33
  5. Step 5: Solve for x
    x = 144,785,723.33/13,231.74
  6. Step 6: Final answer
    x = 10,942.30

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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.