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Finding the Fourth Proportional to 12,015.42, 18,023.11 and 5,441.46

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Solution

The fourth proportional to 12,015.42, 18,023.11 and 5,441.46 is: 8,162.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015.42 : 18,023.11 = 5,441.46 : x
  2. Step 2: Convert to fraction form
    12,015.42/18,023.11 = 5,441.46/x
  3. Step 3: Cross multiply
    12,015.42x = 18,023.11 × 5,441.46
  4. Step 4: Simplify right side
    12,015.42x = 98,072,032.14
  5. Step 5: Solve for x
    x = 98,072,032.14/12,015.42
  6. Step 6: Final answer
    x = 8,162.18

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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.