Home / 20,807.36-31,204.16-10,412

Finding the Fourth Proportional to 20,807.36, 31,204.16 and 10,412

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Solution

The fourth proportional to 20,807.36, 31,204.16 and 10,412 is: 15,614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807.36 : 31,204.16 = 10,412 : x
  2. Step 2: Convert to fraction form
    20,807.36/31,204.16 = 10,412/x
  3. Step 3: Cross multiply
    20,807.36x = 31,204.16 × 10,412
  4. Step 4: Simplify right side
    20,807.36x = 324,897,713.92
  5. Step 5: Solve for x
    x = 324,897,713.92/20,807.36
  6. Step 6: Final answer
    x = 15,614.56

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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.