Home / 20,828.23-31,203.10-10,285.91

Finding the Fourth Proportional to 20,828.23, 31,203.10 and 10,285.91

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Solution

The fourth proportional to 20,828.23, 31,203.10 and 10,285.91 is: 15,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,828.23 : 31,203.10 = 10,285.91 : x
  2. Step 2: Convert to fraction form
    20,828.23/31,203.10 = 10,285.91/x
  3. Step 3: Cross multiply
    20,828.23x = 31,203.10 × 10,285.91
  4. Step 4: Simplify right side
    20,828.23x = 320,952,122.31
  5. Step 5: Solve for x
    x = 320,952,122.31/20,828.23
  6. Step 6: Final answer
    x = 15,409.48

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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.