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Finding the Fourth Proportional to 12,537.31, 18,806.52 and 6,986.44

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Solution

The fourth proportional to 12,537.31, 18,806.52 and 6,986.44 is: 10,479.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.31 : 18,806.52 = 6,986.44 : x
  2. Step 2: Convert to fraction form
    12,537.31/18,806.52 = 6,986.44/x
  3. Step 3: Cross multiply
    12,537.31x = 18,806.52 × 6,986.44
  4. Step 4: Simplify right side
    12,537.31x = 131,390,623.59
  5. Step 5: Solve for x
    x = 131,390,623.59/12,537.31
  6. Step 6: Final answer
    x = 10,479.97

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1.5x scale

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.