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Finding the Fourth Proportional to 34,638, 51,965.64 and 10,014

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Solution

The fourth proportional to 34,638, 51,965.64 and 10,014 is: 15,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,638 : 51,965.64 = 10,014 : x
  2. Step 2: Convert to fraction form
    34,638/51,965.64 = 10,014/x
  3. Step 3: Cross multiply
    34,638x = 51,965.64 × 10,014
  4. Step 4: Simplify right side
    34,638x = 520,383,918.96
  5. Step 5: Solve for x
    x = 520,383,918.96/34,638
  6. Step 6: Final answer
    x = 15,023.50

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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.