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Finding the Fourth Proportional to 8,567.71, 12,858.05 and 3,640.81

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Solution

The fourth proportional to 8,567.71, 12,858.05 and 3,640.81 is: 5,463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.71 : 12,858.05 = 3,640.81 : x
  2. Step 2: Convert to fraction form
    8,567.71/12,858.05 = 3,640.81/x
  3. Step 3: Cross multiply
    8,567.71x = 12,858.05 × 3,640.81
  4. Step 4: Simplify right side
    8,567.71x = 46,813,717.02
  5. Step 5: Solve for x
    x = 46,813,717.02/8,567.71
  6. Step 6: Final answer
    x = 5,463.97

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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.