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Finding the Fourth Proportional to 26,298, 39,466.44 and 12,447

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Solution

The fourth proportional to 26,298, 39,466.44 and 12,447 is: 18,679.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,298 : 39,466.44 = 12,447 : x
  2. Step 2: Convert to fraction form
    26,298/39,466.44 = 12,447/x
  3. Step 3: Cross multiply
    26,298x = 39,466.44 × 12,447
  4. Step 4: Simplify right side
    26,298x = 491,238,778.68
  5. Step 5: Solve for x
    x = 491,238,778.68/26,298
  6. Step 6: Final answer
    x = 18,679.70

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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.