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Finding the Fourth Proportional to 8,939.72, 13,408 and 2,366

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Solution

The fourth proportional to 8,939.72, 13,408 and 2,366 is: 3,548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,939.72 : 13,408 = 2,366 : x
  2. Step 2: Convert to fraction form
    8,939.72/13,408 = 2,366/x
  3. Step 3: Cross multiply
    8,939.72x = 13,408 × 2,366
  4. Step 4: Simplify right side
    8,939.72x = 31,723,328
  5. Step 5: Solve for x
    x = 31,723,328/8,939.72
  6. Step 6: Final answer
    x = 3,548.58

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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.