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Finding the Fourth Proportional to 13,412.88, 20,114.88 and 5,092.56

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Solution

The fourth proportional to 13,412.88, 20,114.88 and 5,092.56 is: 7,637.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.88 : 20,114.88 = 5,092.56 : x
  2. Step 2: Convert to fraction form
    13,412.88/20,114.88 = 5,092.56/x
  3. Step 3: Cross multiply
    13,412.88x = 20,114.88 × 5,092.56
  4. Step 4: Simplify right side
    13,412.88x = 102,436,233.29
  5. Step 5: Solve for x
    x = 102,436,233.29/13,412.88
  6. Step 6: Final answer
    x = 7,637.15

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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.