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Finding the Fourth Proportional to 6,643.80, 9,952.74 and 4,040.28

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Solution

The fourth proportional to 6,643.80, 9,952.74 and 4,040.28 is: 6,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.80 : 9,952.74 = 4,040.28 : x
  2. Step 2: Convert to fraction form
    6,643.80/9,952.74 = 4,040.28/x
  3. Step 3: Cross multiply
    6,643.80x = 9,952.74 × 4,040.28
  4. Step 4: Simplify right side
    6,643.80x = 40,211,856.37
  5. Step 5: Solve for x
    x = 40,211,856.37/6,643.80
  6. Step 6: Final answer
    x = 6,052.54

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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.