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Finding the Fourth Proportional to 3,182.56, 4,393.30 and 2,983.30

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Solution

The fourth proportional to 3,182.56, 4,393.30 and 2,983.30 is: 4,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.56 : 4,393.30 = 2,983.30 : x
  2. Step 2: Convert to fraction form
    3,182.56/4,393.30 = 2,983.30/x
  3. Step 3: Cross multiply
    3,182.56x = 4,393.30 × 2,983.30
  4. Step 4: Simplify right side
    3,182.56x = 13,106,531.89
  5. Step 5: Solve for x
    x = 13,106,531.89/3,182.56
  6. Step 6: Final answer
    x = 4,118.24

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1.5x scale

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.