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Finding the Fourth Proportional to 34,406, 51,617.67 and 9,782

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Solution

The fourth proportional to 34,406, 51,617.67 and 9,782 is: 14,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,406 : 51,617.67 = 9,782 : x
  2. Step 2: Convert to fraction form
    34,406/51,617.67 = 9,782/x
  3. Step 3: Cross multiply
    34,406x = 51,617.67 × 9,782
  4. Step 4: Simplify right side
    34,406x = 504,924,047.94
  5. Step 5: Solve for x
    x = 504,924,047.94/34,406
  6. Step 6: Final answer
    x = 14,675.46

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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.