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Finding the Fourth Proportional to 20,984.49, 31,476.74 and 6,940.74

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Solution

The fourth proportional to 20,984.49, 31,476.74 and 6,940.74 is: 10,411.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,984.49 : 31,476.74 = 6,940.74 : x
  2. Step 2: Convert to fraction form
    20,984.49/31,476.74 = 6,940.74/x
  3. Step 3: Cross multiply
    20,984.49x = 31,476.74 × 6,940.74
  4. Step 4: Simplify right side
    20,984.49x = 218,471,951.72
  5. Step 5: Solve for x
    x = 218,471,951.72/20,984.49
  6. Step 6: Final answer
    x = 10,411.12

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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.