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Finding the Fourth Proportional to 20,713.74, 31,074.24 and 7,574.76

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Solution

The fourth proportional to 20,713.74, 31,074.24 and 7,574.76 is: 11,363.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,713.74 : 31,074.24 = 7,574.76 : x
  2. Step 2: Convert to fraction form
    20,713.74/31,074.24 = 7,574.76/x
  3. Step 3: Cross multiply
    20,713.74x = 31,074.24 × 7,574.76
  4. Step 4: Simplify right side
    20,713.74x = 235,379,910.18
  5. Step 5: Solve for x
    x = 235,379,910.18/20,713.74
  6. Step 6: Final answer
    x = 11,363.47

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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.