Home / 2,122.47-3,184.43-1,095.75

Finding the Fourth Proportional to 2,122.47, 3,184.43 and 1,095.75

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Solution

The fourth proportional to 2,122.47, 3,184.43 and 1,095.75 is: 1,644.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.47 : 3,184.43 = 1,095.75 : x
  2. Step 2: Convert to fraction form
    2,122.47/3,184.43 = 1,095.75/x
  3. Step 3: Cross multiply
    2,122.47x = 3,184.43 × 1,095.75
  4. Step 4: Simplify right side
    2,122.47x = 3,489,333.69
  5. Step 5: Solve for x
    x = 3,489,333.69/2,122.47
  6. Step 6: Final answer
    x = 1,644.00

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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.