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Finding the Fourth Proportional to 12,412.17, 18,640.67 and 7,741.26

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Solution

The fourth proportional to 12,412.17, 18,640.67 and 7,741.26 is: 11,625.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.17 : 18,640.67 = 7,741.26 : x
  2. Step 2: Convert to fraction form
    12,412.17/18,640.67 = 7,741.26/x
  3. Step 3: Cross multiply
    12,412.17x = 18,640.67 × 7,741.26
  4. Step 4: Simplify right side
    12,412.17x = 144,302,234.34
  5. Step 5: Solve for x
    x = 144,302,234.34/12,412.17
  6. Step 6: Final answer
    x = 11,625.87

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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.