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Finding the Fourth Proportional to 3,616.98, 5,426.70 and 1,536.90

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Solution

The fourth proportional to 3,616.98, 5,426.70 and 1,536.90 is: 2,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.98 : 5,426.70 = 1,536.90 : x
  2. Step 2: Convert to fraction form
    3,616.98/5,426.70 = 1,536.90/x
  3. Step 3: Cross multiply
    3,616.98x = 5,426.70 × 1,536.90
  4. Step 4: Simplify right side
    3,616.98x = 8,340,295.23
  5. Step 5: Solve for x
    x = 8,340,295.23/3,616.98
  6. Step 6: Final answer
    x = 2,305.87

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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.