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Finding the Fourth Proportional to 6,308.90, 8,707.82 and 3,657.84

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Solution

The fourth proportional to 6,308.90, 8,707.82 and 3,657.84 is: 5,048.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.90 : 8,707.82 = 3,657.84 : x
  2. Step 2: Convert to fraction form
    6,308.90/8,707.82 = 3,657.84/x
  3. Step 3: Cross multiply
    6,308.90x = 8,707.82 × 3,657.84
  4. Step 4: Simplify right side
    6,308.90x = 31,851,830.92
  5. Step 5: Solve for x
    x = 31,851,830.92/6,308.90
  6. Step 6: Final answer
    x = 5,048.71

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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.