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Finding the Fourth Proportional to 26,899, 40,354.98 and 8,431

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Solution

The fourth proportional to 26,899, 40,354.98 and 8,431 is: 12,648.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,899 : 40,354.98 = 8,431 : x
  2. Step 2: Convert to fraction form
    26,899/40,354.98 = 8,431/x
  3. Step 3: Cross multiply
    26,899x = 40,354.98 × 8,431
  4. Step 4: Simplify right side
    26,899x = 340,232,836.38
  5. Step 5: Solve for x
    x = 340,232,836.38/26,899
  6. Step 6: Final answer
    x = 12,648.53

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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.