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Finding the Fourth Proportional to 20,874.53, 31,315.64 and 6,835.34

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Solution

The fourth proportional to 20,874.53, 31,315.64 and 6,835.34 is: 10,254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.53 : 31,315.64 = 6,835.34 : x
  2. Step 2: Convert to fraction form
    20,874.53/31,315.64 = 6,835.34/x
  3. Step 3: Cross multiply
    20,874.53x = 31,315.64 × 6,835.34
  4. Step 4: Simplify right side
    20,874.53x = 214,053,046.72
  5. Step 5: Solve for x
    x = 214,053,046.72/20,874.53
  6. Step 6: Final answer
    x = 10,254.27

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1.5x scale

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.