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Finding the Fourth Proportional to 20,706.54, 31,057.65 and 5,914.50

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Solution

The fourth proportional to 20,706.54, 31,057.65 and 5,914.50 is: 8,871.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706.54 : 31,057.65 = 5,914.50 : x
  2. Step 2: Convert to fraction form
    20,706.54/31,057.65 = 5,914.50/x
  3. Step 3: Cross multiply
    20,706.54x = 31,057.65 × 5,914.50
  4. Step 4: Simplify right side
    20,706.54x = 183,690,470.93
  5. Step 5: Solve for x
    x = 183,690,470.93/20,706.54
  6. Step 6: Final answer
    x = 8,871.13

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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.