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Finding the Fourth Proportional to 26,321.60, 39,448.56 and 12,440

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Solution

The fourth proportional to 26,321.60, 39,448.56 and 12,440 is: 18,644.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,321.60 : 39,448.56 = 12,440 : x
  2. Step 2: Convert to fraction form
    26,321.60/39,448.56 = 12,440/x
  3. Step 3: Cross multiply
    26,321.60x = 39,448.56 × 12,440
  4. Step 4: Simplify right side
    26,321.60x = 490,740,086.40
  5. Step 5: Solve for x
    x = 490,740,086.40/26,321.60
  6. Step 6: Final answer
    x = 18,644.01

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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.