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Finding the Fourth Proportional to 12,586, 18,881.16 and 3,821.80

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Solution

The fourth proportional to 12,586, 18,881.16 and 3,821.80 is: 5,733.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586 : 18,881.16 = 3,821.80 : x
  2. Step 2: Convert to fraction form
    12,586/18,881.16 = 3,821.80/x
  3. Step 3: Cross multiply
    12,586x = 18,881.16 × 3,821.80
  4. Step 4: Simplify right side
    12,586x = 72,160,017.29
  5. Step 5: Solve for x
    x = 72,160,017.29/12,586
  6. Step 6: Final answer
    x = 5,733.36

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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.