Home / 20,936.16-31,371.84-7,785

Finding the Fourth Proportional to 20,936.16, 31,371.84 and 7,785

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Solution

The fourth proportional to 20,936.16, 31,371.84 and 7,785 is: 11,665.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,936.16 : 31,371.84 = 7,785 : x
  2. Step 2: Convert to fraction form
    20,936.16/31,371.84 = 7,785/x
  3. Step 3: Cross multiply
    20,936.16x = 31,371.84 × 7,785
  4. Step 4: Simplify right side
    20,936.16x = 244,229,774.40
  5. Step 5: Solve for x
    x = 244,229,774.40/20,936.16
  6. Step 6: Final answer
    x = 11,665.45

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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.