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Finding the Fourth Proportional to 34,011, 51,021.09 and 10,639.26

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Solution

The fourth proportional to 34,011, 51,021.09 and 10,639.26 is: 15,960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,011 : 51,021.09 = 10,639.26 : x
  2. Step 2: Convert to fraction form
    34,011/51,021.09 = 10,639.26/x
  3. Step 3: Cross multiply
    34,011x = 51,021.09 × 10,639.26
  4. Step 4: Simplify right side
    34,011x = 542,826,641.99
  5. Step 5: Solve for x
    x = 542,826,641.99/34,011
  6. Step 6: Final answer
    x = 15,960.33

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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.