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Finding the Fourth Proportional to 26,311, 39,485.94 and 12,460

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Solution

The fourth proportional to 26,311, 39,485.94 and 12,460 is: 18,699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,311 : 39,485.94 = 12,460 : x
  2. Step 2: Convert to fraction form
    26,311/39,485.94 = 12,460/x
  3. Step 3: Cross multiply
    26,311x = 39,485.94 × 12,460
  4. Step 4: Simplify right side
    26,311x = 491,994,812.40
  5. Step 5: Solve for x
    x = 491,994,812.40/26,311
  6. Step 6: Final answer
    x = 18,699.21

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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.