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Finding the Fourth Proportional to 12,502.56, 18,754.19 and 4,181.03

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Solution

The fourth proportional to 12,502.56, 18,754.19 and 4,181.03 is: 6,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.56 : 18,754.19 = 4,181.03 : x
  2. Step 2: Convert to fraction form
    12,502.56/18,754.19 = 4,181.03/x
  3. Step 3: Cross multiply
    12,502.56x = 18,754.19 × 4,181.03
  4. Step 4: Simplify right side
    12,502.56x = 78,411,716.34
  5. Step 5: Solve for x
    x = 78,411,716.34/12,502.56
  6. Step 6: Final answer
    x = 6,271.65

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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.