Home / 2,161.22-2,983.20-1,415.66

Finding the Fourth Proportional to 2,161.22, 2,983.20 and 1,415.66

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Solution

The fourth proportional to 2,161.22, 2,983.20 and 1,415.66 is: 1,954.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.22 : 2,983.20 = 1,415.66 : x
  2. Step 2: Convert to fraction form
    2,161.22/2,983.20 = 1,415.66/x
  3. Step 3: Cross multiply
    2,161.22x = 2,983.20 × 1,415.66
  4. Step 4: Simplify right side
    2,161.22x = 4,223,196.91
  5. Step 5: Solve for x
    x = 4,223,196.91/2,161.22
  6. Step 6: Final answer
    x = 1,954.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.