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Finding the Fourth Proportional to 20,483.42, 30,714.80 and 7,993.82

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Solution

The fourth proportional to 20,483.42, 30,714.80 and 7,993.82 is: 11,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,483.42 : 30,714.80 = 7,993.82 : x
  2. Step 2: Convert to fraction form
    20,483.42/30,714.80 = 7,993.82/x
  3. Step 3: Cross multiply
    20,483.42x = 30,714.80 × 7,993.82
  4. Step 4: Simplify right side
    20,483.42x = 245,528,619.35
  5. Step 5: Solve for x
    x = 245,528,619.35/20,483.42
  6. Step 6: Final answer
    x = 11,986.70

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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.