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Finding the Fourth Proportional to 26,661.60, 39,981.60 and 9,122.40

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Solution

The fourth proportional to 26,661.60, 39,981.60 and 9,122.40 is: 13,679.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,661.60 : 39,981.60 = 9,122.40 : x
  2. Step 2: Convert to fraction form
    26,661.60/39,981.60 = 9,122.40/x
  3. Step 3: Cross multiply
    26,661.60x = 39,981.60 × 9,122.40
  4. Step 4: Simplify right side
    26,661.60x = 364,728,147.84
  5. Step 5: Solve for x
    x = 364,728,147.84/26,661.60
  6. Step 6: Final answer
    x = 13,679.90

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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.