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Finding the Fourth Proportional to 35,406, 53,109 and 10,782

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Solution

The fourth proportional to 35,406, 53,109 and 10,782 is: 16,173

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,406 : 53,109 = 10,782 : x
  2. Step 2: Convert to fraction form
    35,406/53,109 = 10,782/x
  3. Step 3: Cross multiply
    35,406x = 53,109 × 10,782
  4. Step 4: Simplify right side
    35,406x = 572,621,238
  5. Step 5: Solve for x
    x = 572,621,238/35,406
  6. Step 6: Final answer
    x = 16,173

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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.