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Finding the Fourth Proportional to 10,212.82, 15,322.53 and 5,015.05

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Solution

The fourth proportional to 10,212.82, 15,322.53 and 5,015.05 is: 7,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.82 : 15,322.53 = 5,015.05 : x
  2. Step 2: Convert to fraction form
    10,212.82/15,322.53 = 5,015.05/x
  3. Step 3: Cross multiply
    10,212.82x = 15,322.53 × 5,015.05
  4. Step 4: Simplify right side
    10,212.82x = 76,843,254.08
  5. Step 5: Solve for x
    x = 76,843,254.08/10,212.82
  6. Step 6: Final answer
    x = 7,524.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.