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Finding the Fourth Proportional to 4,590, 6,863.97 and 3,420.80

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Solution

The fourth proportional to 4,590, 6,863.97 and 3,420.80 is: 5,115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590 : 6,863.97 = 3,420.80 : x
  2. Step 2: Convert to fraction form
    4,590/6,863.97 = 3,420.80/x
  3. Step 3: Cross multiply
    4,590x = 6,863.97 × 3,420.80
  4. Step 4: Simplify right side
    4,590x = 23,480,272.82
  5. Step 5: Solve for x
    x = 23,480,272.82/4,590
  6. Step 6: Final answer
    x = 5,115.53

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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.