Home / 2,982.66-4,116.20-1,656.38

Finding the Fourth Proportional to 2,982.66, 4,116.20 and 1,656.38

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Solution

The fourth proportional to 2,982.66, 4,116.20 and 1,656.38 is: 2,285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.66 : 4,116.20 = 1,656.38 : x
  2. Step 2: Convert to fraction form
    2,982.66/4,116.20 = 1,656.38/x
  3. Step 3: Cross multiply
    2,982.66x = 4,116.20 × 1,656.38
  4. Step 4: Simplify right side
    2,982.66x = 6,817,962.49
  5. Step 5: Solve for x
    x = 6,817,962.49/2,982.66
  6. Step 6: Final answer
    x = 2,285.87

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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.