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Finding the Fourth Proportional to 12,580.78, 18,871.20 and 3,346.78

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Solution

The fourth proportional to 12,580.78, 18,871.20 and 3,346.78 is: 5,020.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.78 : 18,871.20 = 3,346.78 : x
  2. Step 2: Convert to fraction form
    12,580.78/18,871.20 = 3,346.78/x
  3. Step 3: Cross multiply
    12,580.78x = 18,871.20 × 3,346.78
  4. Step 4: Simplify right side
    12,580.78x = 63,157,754.74
  5. Step 5: Solve for x
    x = 63,157,754.74/12,580.78
  6. Step 6: Final answer
    x = 5,020.18

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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.