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Finding the Fourth Proportional to 20,701.26, 31,051.90 and 5,118.90

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Solution

The fourth proportional to 20,701.26, 31,051.90 and 5,118.90 is: 7,678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,701.26 : 31,051.90 = 5,118.90 : x
  2. Step 2: Convert to fraction form
    20,701.26/31,051.90 = 5,118.90/x
  3. Step 3: Cross multiply
    20,701.26x = 31,051.90 × 5,118.90
  4. Step 4: Simplify right side
    20,701.26x = 158,951,570.91
  5. Step 5: Solve for x
    x = 158,951,570.91/20,701.26
  6. Step 6: Final answer
    x = 7,678.35

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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.