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Finding the Fourth Proportional to 20,914.32, 31,364.83 and 6,871.09

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Solution

The fourth proportional to 20,914.32, 31,364.83 and 6,871.09 is: 10,304.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,914.32 : 31,364.83 = 6,871.09 : x
  2. Step 2: Convert to fraction form
    20,914.32/31,364.83 = 6,871.09/x
  3. Step 3: Cross multiply
    20,914.32x = 31,364.83 × 6,871.09
  4. Step 4: Simplify right side
    20,914.32x = 215,510,569.76
  5. Step 5: Solve for x
    x = 215,510,569.76/20,914.32
  6. Step 6: Final answer
    x = 10,304.45

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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.