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Finding the Fourth Proportional to 20,711.88, 31,068.38 and 5,922.12

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Solution

The fourth proportional to 20,711.88, 31,068.38 and 5,922.12 is: 8,883.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,711.88 : 31,068.38 = 5,922.12 : x
  2. Step 2: Convert to fraction form
    20,711.88/31,068.38 = 5,922.12/x
  3. Step 3: Cross multiply
    20,711.88x = 31,068.38 × 5,922.12
  4. Step 4: Simplify right side
    20,711.88x = 183,990,674.57
  5. Step 5: Solve for x
    x = 183,990,674.57/20,711.88
  6. Step 6: Final answer
    x = 8,883.34

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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.