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Finding the Fourth Proportional to 29,203.20, 43,812 and 8,428.32

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Solution

The fourth proportional to 29,203.20, 43,812 and 8,428.32 is: 12,644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,203.20 : 43,812 = 8,428.32 : x
  2. Step 2: Convert to fraction form
    29,203.20/43,812 = 8,428.32/x
  3. Step 3: Cross multiply
    29,203.20x = 43,812 × 8,428.32
  4. Step 4: Simplify right side
    29,203.20x = 369,261,555.84
  5. Step 5: Solve for x
    x = 369,261,555.84/29,203.20
  6. Step 6: Final answer
    x = 12,644.56

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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.