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Finding the Fourth Proportional to 20,714.70, 31,080.15 and 7,568.40

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Solution

The fourth proportional to 20,714.70, 31,080.15 and 7,568.40 is: 11,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.70 : 31,080.15 = 7,568.40 : x
  2. Step 2: Convert to fraction form
    20,714.70/31,080.15 = 7,568.40/x
  3. Step 3: Cross multiply
    20,714.70x = 31,080.15 × 7,568.40
  4. Step 4: Simplify right side
    20,714.70x = 235,227,007.26
  5. Step 5: Solve for x
    x = 235,227,007.26/20,714.70
  6. Step 6: Final answer
    x = 11,355.56

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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.