Home / 2,182.42-3,271.30-864.35

Finding the Fourth Proportional to 2,182.42, 3,271.30 and 864.35

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Solution

The fourth proportional to 2,182.42, 3,271.30 and 864.35 is: 1,295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.42 : 3,271.30 = 864.35 : x
  2. Step 2: Convert to fraction form
    2,182.42/3,271.30 = 864.35/x
  3. Step 3: Cross multiply
    2,182.42x = 3,271.30 × 864.35
  4. Step 4: Simplify right side
    2,182.42x = 2,827,529.64
  5. Step 5: Solve for x
    x = 2,827,529.64/2,182.42
  6. Step 6: Final answer
    x = 1,295.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.