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Finding the Fourth Proportional to 2,939.70, 4,408.41 and 1,477.83

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Solution

The fourth proportional to 2,939.70, 4,408.41 and 1,477.83 is: 2,216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.70 : 4,408.41 = 1,477.83 : x
  2. Step 2: Convert to fraction form
    2,939.70/4,408.41 = 1,477.83/x
  3. Step 3: Cross multiply
    2,939.70x = 4,408.41 × 1,477.83
  4. Step 4: Simplify right side
    2,939.70x = 6,514,880.55
  5. Step 5: Solve for x
    x = 6,514,880.55/2,939.70
  6. Step 6: Final answer
    x = 2,216.17

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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.