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Finding the Fourth Proportional to 20,902.80, 31,359.07 and 7,051.80

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Solution

The fourth proportional to 20,902.80, 31,359.07 and 7,051.80 is: 10,579.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.80 : 31,359.07 = 7,051.80 : x
  2. Step 2: Convert to fraction form
    20,902.80/31,359.07 = 7,051.80/x
  3. Step 3: Cross multiply
    20,902.80x = 31,359.07 × 7,051.80
  4. Step 4: Simplify right side
    20,902.80x = 221,137,854.57
  5. Step 5: Solve for x
    x = 221,137,854.57/20,902.80
  6. Step 6: Final answer
    x = 10,579.34

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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.