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Finding the Fourth Proportional to 4,271.94, 6,408.24 and 1,640.71

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Solution

The fourth proportional to 4,271.94, 6,408.24 and 1,640.71 is: 2,461.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.94 : 6,408.24 = 1,640.71 : x
  2. Step 2: Convert to fraction form
    4,271.94/6,408.24 = 1,640.71/x
  3. Step 3: Cross multiply
    4,271.94x = 6,408.24 × 1,640.71
  4. Step 4: Simplify right side
    4,271.94x = 10,514,063.45
  5. Step 5: Solve for x
    x = 10,514,063.45/4,271.94
  6. Step 6: Final answer
    x = 2,461.19

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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.