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Finding the Fourth Proportional to 6,291.86, 8,682.68 and 3,639.52

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Solution

The fourth proportional to 6,291.86, 8,682.68 and 3,639.52 is: 5,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.86 : 8,682.68 = 3,639.52 : x
  2. Step 2: Convert to fraction form
    6,291.86/8,682.68 = 3,639.52/x
  3. Step 3: Cross multiply
    6,291.86x = 8,682.68 × 3,639.52
  4. Step 4: Simplify right side
    6,291.86x = 31,600,787.51
  5. Step 5: Solve for x
    x = 31,600,787.51/6,291.86
  6. Step 6: Final answer
    x = 5,022.49

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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.