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Finding the Fourth Proportional to 6,343.87, 8,751.61 and 4,106.47

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Solution

The fourth proportional to 6,343.87, 8,751.61 and 4,106.47 is: 5,665.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.87 : 8,751.61 = 4,106.47 : x
  2. Step 2: Convert to fraction form
    6,343.87/8,751.61 = 4,106.47/x
  3. Step 3: Cross multiply
    6,343.87x = 8,751.61 × 4,106.47
  4. Step 4: Simplify right side
    6,343.87x = 35,938,223.92
  5. Step 5: Solve for x
    x = 35,938,223.92/6,343.87
  6. Step 6: Final answer
    x = 5,665.03

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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.