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Finding the Fourth Proportional to 20,486.40, 30,714 and 9,396.24

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Solution

The fourth proportional to 20,486.40, 30,714 and 9,396.24 is: 14,087.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,486.40 : 30,714 = 9,396.24 : x
  2. Step 2: Convert to fraction form
    20,486.40/30,714 = 9,396.24/x
  3. Step 3: Cross multiply
    20,486.40x = 30,714 × 9,396.24
  4. Step 4: Simplify right side
    20,486.40x = 288,596,115.36
  5. Step 5: Solve for x
    x = 288,596,115.36/20,486.40
  6. Step 6: Final answer
    x = 14,087.20

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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.