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Finding the Fourth Proportional to 6,488.86, 8,954.64 and 3,763.92

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Solution

The fourth proportional to 6,488.86, 8,954.64 and 3,763.92 is: 5,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.86 : 8,954.64 = 3,763.92 : x
  2. Step 2: Convert to fraction form
    6,488.86/8,954.64 = 3,763.92/x
  3. Step 3: Cross multiply
    6,488.86x = 8,954.64 × 3,763.92
  4. Step 4: Simplify right side
    6,488.86x = 33,704,485.00
  5. Step 5: Solve for x
    x = 33,704,485.00/6,488.86
  6. Step 6: Final answer
    x = 5,194.21

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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.