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Finding the Fourth Proportional to 20,874.31, 31,304.78 and 6,830.53

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Solution

The fourth proportional to 20,874.31, 31,304.78 and 6,830.53 is: 10,243.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.31 : 31,304.78 = 6,830.53 : x
  2. Step 2: Convert to fraction form
    20,874.31/31,304.78 = 6,830.53/x
  3. Step 3: Cross multiply
    20,874.31x = 31,304.78 × 6,830.53
  4. Step 4: Simplify right side
    20,874.31x = 213,828,152.13
  5. Step 5: Solve for x
    x = 213,828,152.13/20,874.31
  6. Step 6: Final answer
    x = 10,243.60

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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.