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Finding the Fourth Proportional to 34,379.13, 51,568.74 and 9,419.40

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Solution

The fourth proportional to 34,379.13, 51,568.74 and 9,419.40 is: 14,129.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,379.13 : 51,568.74 = 9,419.40 : x
  2. Step 2: Convert to fraction form
    34,379.13/51,568.74 = 9,419.40/x
  3. Step 3: Cross multiply
    34,379.13x = 51,568.74 × 9,419.40
  4. Step 4: Simplify right side
    34,379.13x = 485,746,589.56
  5. Step 5: Solve for x
    x = 485,746,589.56/34,379.13
  6. Step 6: Final answer
    x = 14,129.11

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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.