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Finding the Fourth Proportional to 4,638.92, 6,401.76 and 2,543

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Solution

The fourth proportional to 4,638.92, 6,401.76 and 2,543 is: 3,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.92 : 6,401.76 = 2,543 : x
  2. Step 2: Convert to fraction form
    4,638.92/6,401.76 = 2,543/x
  3. Step 3: Cross multiply
    4,638.92x = 6,401.76 × 2,543
  4. Step 4: Simplify right side
    4,638.92x = 16,279,675.68
  5. Step 5: Solve for x
    x = 16,279,675.68/4,638.92
  6. Step 6: Final answer
    x = 3,509.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.