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Finding the Fourth Proportional to 20,568.66, 30,849.45 and 7,419.12

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Solution

The fourth proportional to 20,568.66, 30,849.45 and 7,419.12 is: 11,127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,568.66 : 30,849.45 = 7,419.12 : x
  2. Step 2: Convert to fraction form
    20,568.66/30,849.45 = 7,419.12/x
  3. Step 3: Cross multiply
    20,568.66x = 30,849.45 × 7,419.12
  4. Step 4: Simplify right side
    20,568.66x = 228,875,771.48
  5. Step 5: Solve for x
    x = 228,875,771.48/20,568.66
  6. Step 6: Final answer
    x = 11,127.40

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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.