Home / 2,982.72-4,116.12-1,656.66

Finding the Fourth Proportional to 2,982.72, 4,116.12 and 1,656.66

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Solution

The fourth proportional to 2,982.72, 4,116.12 and 1,656.66 is: 2,286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.72 : 4,116.12 = 1,656.66 : x
  2. Step 2: Convert to fraction form
    2,982.72/4,116.12 = 1,656.66/x
  3. Step 3: Cross multiply
    2,982.72x = 4,116.12 × 1,656.66
  4. Step 4: Simplify right side
    2,982.72x = 6,819,011.36
  5. Step 5: Solve for x
    x = 6,819,011.36/2,982.72
  6. Step 6: Final answer
    x = 2,286.17

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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.