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Finding the Fourth Proportional to 20,699.50, 31,052.49 and 6,851.74

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Solution

The fourth proportional to 20,699.50, 31,052.49 and 6,851.74 is: 10,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,699.50 : 31,052.49 = 6,851.74 : x
  2. Step 2: Convert to fraction form
    20,699.50/31,052.49 = 6,851.74/x
  3. Step 3: Cross multiply
    20,699.50x = 31,052.49 × 6,851.74
  4. Step 4: Simplify right side
    20,699.50x = 212,763,587.83
  5. Step 5: Solve for x
    x = 212,763,587.83/20,699.50
  6. Step 6: Final answer
    x = 10,278.68

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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.