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Finding the Fourth Proportional to 20,314.91, 30,473.03 and 6,987.77

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Solution

The fourth proportional to 20,314.91, 30,473.03 and 6,987.77 is: 10,481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,314.91 : 30,473.03 = 6,987.77 : x
  2. Step 2: Convert to fraction form
    20,314.91/30,473.03 = 6,987.77/x
  3. Step 3: Cross multiply
    20,314.91x = 30,473.03 × 6,987.77
  4. Step 4: Simplify right side
    20,314.91x = 212,938,337.54
  5. Step 5: Solve for x
    x = 212,938,337.54/20,314.91
  6. Step 6: Final answer
    x = 10,481.88

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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.