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Finding the Fourth Proportional to 26,431, 39,646.52 and 7,963

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Solution

The fourth proportional to 26,431, 39,646.52 and 7,963 is: 11,944.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,431 : 39,646.52 = 7,963 : x
  2. Step 2: Convert to fraction form
    26,431/39,646.52 = 7,963/x
  3. Step 3: Cross multiply
    26,431x = 39,646.52 × 7,963
  4. Step 4: Simplify right side
    26,431x = 315,705,238.76
  5. Step 5: Solve for x
    x = 315,705,238.76/26,431
  6. Step 6: Final answer
    x = 11,944.51

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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.