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Finding the Fourth Proportional to 7,963, 11,949.63 and 3,346

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Solution

The fourth proportional to 7,963, 11,949.63 and 3,346 is: 5,021.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963 : 11,949.63 = 3,346 : x
  2. Step 2: Convert to fraction form
    7,963/11,949.63 = 3,346/x
  3. Step 3: Cross multiply
    7,963x = 11,949.63 × 3,346
  4. Step 4: Simplify right side
    7,963x = 39,983,461.98
  5. Step 5: Solve for x
    x = 39,983,461.98/7,963
  6. Step 6: Final answer
    x = 5,021.16

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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.