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Finding the Fourth Proportional to 4,263, 6,390.42 and 2,182.20

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Solution

The fourth proportional to 4,263, 6,390.42 and 2,182.20 is: 3,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,263 : 6,390.42 = 2,182.20 : x
  2. Step 2: Convert to fraction form
    4,263/6,390.42 = 2,182.20/x
  3. Step 3: Cross multiply
    4,263x = 6,390.42 × 2,182.20
  4. Step 4: Simplify right side
    4,263x = 13,945,174.52
  5. Step 5: Solve for x
    x = 13,945,174.52/4,263
  6. Step 6: Final answer
    x = 3,271.21

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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.