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Finding the Fourth Proportional to 8,570.01, 12,858.66 and 3,640.71

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Solution

The fourth proportional to 8,570.01, 12,858.66 and 3,640.71 is: 5,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.01 : 12,858.66 = 3,640.71 : x
  2. Step 2: Convert to fraction form
    8,570.01/12,858.66 = 3,640.71/x
  3. Step 3: Cross multiply
    8,570.01x = 12,858.66 × 3,640.71
  4. Step 4: Simplify right side
    8,570.01x = 46,814,652.05
  5. Step 5: Solve for x
    x = 46,814,652.05/8,570.01
  6. Step 6: Final answer
    x = 5,462.61

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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.