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Finding the Fourth Proportional to 12,580.84, 18,871.22 and 3,220.86

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Solution

The fourth proportional to 12,580.84, 18,871.22 and 3,220.86 is: 4,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.84 : 18,871.22 = 3,220.86 : x
  2. Step 2: Convert to fraction form
    12,580.84/18,871.22 = 3,220.86/x
  3. Step 3: Cross multiply
    12,580.84x = 18,871.22 × 3,220.86
  4. Step 4: Simplify right side
    12,580.84x = 60,781,557.65
  5. Step 5: Solve for x
    x = 60,781,557.65/12,580.84
  6. Step 6: Final answer
    x = 4,831.28

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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.