Home / 2,982.64-4,116.53-1,656.77

Finding the Fourth Proportional to 2,982.64, 4,116.53 and 1,656.77

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Solution

The fourth proportional to 2,982.64, 4,116.53 and 1,656.77 is: 2,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.64 : 4,116.53 = 1,656.77 : x
  2. Step 2: Convert to fraction form
    2,982.64/4,116.53 = 1,656.77/x
  3. Step 3: Cross multiply
    2,982.64x = 4,116.53 × 1,656.77
  4. Step 4: Simplify right side
    2,982.64x = 6,820,143.41
  5. Step 5: Solve for x
    x = 6,820,143.41/2,982.64
  6. Step 6: Final answer
    x = 2,286.61

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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.