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Finding the Fourth Proportional to 20,753, 31,129.40 and 9,653.57

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Solution

The fourth proportional to 20,753, 31,129.40 and 9,653.57 is: 14,480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,753 : 31,129.40 = 9,653.57 : x
  2. Step 2: Convert to fraction form
    20,753/31,129.40 = 9,653.57/x
  3. Step 3: Cross multiply
    20,753x = 31,129.40 × 9,653.57
  4. Step 4: Simplify right side
    20,753x = 300,509,793.69
  5. Step 5: Solve for x
    x = 300,509,793.69/20,753
  6. Step 6: Final answer
    x = 14,480.31

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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.