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Finding the Fourth Proportional to 12,872.58, 19,309.05 and 3,638.58

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Solution

The fourth proportional to 12,872.58, 19,309.05 and 3,638.58 is: 5,457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.58 : 19,309.05 = 3,638.58 : x
  2. Step 2: Convert to fraction form
    12,872.58/19,309.05 = 3,638.58/x
  3. Step 3: Cross multiply
    12,872.58x = 19,309.05 × 3,638.58
  4. Step 4: Simplify right side
    12,872.58x = 70,257,523.15
  5. Step 5: Solve for x
    x = 70,257,523.15/12,872.58
  6. Step 6: Final answer
    x = 5,457.92

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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.