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Finding the Fourth Proportional to 12,612, 18,916.31 and 5,215.44

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Solution

The fourth proportional to 12,612, 18,916.31 and 5,215.44 is: 7,822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,612 : 18,916.31 = 5,215.44 : x
  2. Step 2: Convert to fraction form
    12,612/18,916.31 = 5,215.44/x
  3. Step 3: Cross multiply
    12,612x = 18,916.31 × 5,215.44
  4. Step 4: Simplify right side
    12,612x = 98,656,853.75
  5. Step 5: Solve for x
    x = 98,656,853.75/12,612
  6. Step 6: Final answer
    x = 7,822.46

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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.