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Finding the Fourth Proportional to 34,342.40, 51,519.40 and 10,644.50

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Solution

The fourth proportional to 34,342.40, 51,519.40 and 10,644.50 is: 15,968.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,342.40 : 51,519.40 = 10,644.50 : x
  2. Step 2: Convert to fraction form
    34,342.40/51,519.40 = 10,644.50/x
  3. Step 3: Cross multiply
    34,342.40x = 51,519.40 × 10,644.50
  4. Step 4: Simplify right side
    34,342.40x = 548,398,253.30
  5. Step 5: Solve for x
    x = 548,398,253.30/34,342.40
  6. Step 6: Final answer
    x = 15,968.55

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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.