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Finding the Fourth Proportional to 11,605.68, 17,408.64 and 2,840.64

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Solution

The fourth proportional to 11,605.68, 17,408.64 and 2,840.64 is: 4,260.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.68 : 17,408.64 = 2,840.64 : x
  2. Step 2: Convert to fraction form
    11,605.68/17,408.64 = 2,840.64/x
  3. Step 3: Cross multiply
    11,605.68x = 17,408.64 × 2,840.64
  4. Step 4: Simplify right side
    11,605.68x = 49,451,679.13
  5. Step 5: Solve for x
    x = 49,451,679.13/11,605.68
  6. Step 6: Final answer
    x = 4,260.99

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1.5x scale

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.