Home / 5,461.20-8,192.16-1,998

Finding the Fourth Proportional to 5,461.20, 8,192.16 and 1,998

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Solution

The fourth proportional to 5,461.20, 8,192.16 and 1,998 is: 2,997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.20 : 8,192.16 = 1,998 : x
  2. Step 2: Convert to fraction form
    5,461.20/8,192.16 = 1,998/x
  3. Step 3: Cross multiply
    5,461.20x = 8,192.16 × 1,998
  4. Step 4: Simplify right side
    5,461.20x = 16,367,935.68
  5. Step 5: Solve for x
    x = 16,367,935.68/5,461.20
  6. Step 6: Final answer
    x = 2,997.13

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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.