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Finding the Fourth Proportional to 34,386.80, 51,589.80 and 16,857.20

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Solution

The fourth proportional to 34,386.80, 51,589.80 and 16,857.20 is: 25,290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,386.80 : 51,589.80 = 16,857.20 : x
  2. Step 2: Convert to fraction form
    34,386.80/51,589.80 = 16,857.20/x
  3. Step 3: Cross multiply
    34,386.80x = 51,589.80 × 16,857.20
  4. Step 4: Simplify right side
    34,386.80x = 869,659,576.56
  5. Step 5: Solve for x
    x = 869,659,576.56/34,386.80
  6. Step 6: Final answer
    x = 25,290.51

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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.