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Finding the Fourth Proportional to 26,469.64, 39,672.06 and 12,421

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Solution

The fourth proportional to 26,469.64, 39,672.06 and 12,421 is: 18,616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,469.64 : 39,672.06 = 12,421 : x
  2. Step 2: Convert to fraction form
    26,469.64/39,672.06 = 12,421/x
  3. Step 3: Cross multiply
    26,469.64x = 39,672.06 × 12,421
  4. Step 4: Simplify right side
    26,469.64x = 492,766,657.26
  5. Step 5: Solve for x
    x = 492,766,657.26/26,469.64
  6. Step 6: Final answer
    x = 18,616.30

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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.