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Finding the Fourth Proportional to 6,422.99, 9,629.81 and 4,337.82

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Solution

The fourth proportional to 6,422.99, 9,629.81 and 4,337.82 is: 6,503.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.99 : 9,629.81 = 4,337.82 : x
  2. Step 2: Convert to fraction form
    6,422.99/9,629.81 = 4,337.82/x
  3. Step 3: Cross multiply
    6,422.99x = 9,629.81 × 4,337.82
  4. Step 4: Simplify right side
    6,422.99x = 41,772,360.73
  5. Step 5: Solve for x
    x = 41,772,360.73/6,422.99
  6. Step 6: Final answer
    x = 6,503.57

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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.