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Finding the Fourth Proportional to 6,112.21, 8,438.43 and 4,432

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Solution

The fourth proportional to 6,112.21, 8,438.43 and 4,432 is: 6,118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.21 : 8,438.43 = 4,432 : x
  2. Step 2: Convert to fraction form
    6,112.21/8,438.43 = 4,432/x
  3. Step 3: Cross multiply
    6,112.21x = 8,438.43 × 4,432
  4. Step 4: Simplify right side
    6,112.21x = 37,399,121.76
  5. Step 5: Solve for x
    x = 37,399,121.76/6,112.21
  6. Step 6: Final answer
    x = 6,118.76

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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.