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Finding the Fourth Proportional to 27,086, 40,628.72 and 20,552.32

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Solution

The fourth proportional to 27,086, 40,628.72 and 20,552.32 is: 30,828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,086 : 40,628.72 = 20,552.32 : x
  2. Step 2: Convert to fraction form
    27,086/40,628.72 = 20,552.32/x
  3. Step 3: Cross multiply
    27,086x = 40,628.72 × 20,552.32
  4. Step 4: Simplify right side
    27,086x = 835,014,454.63
  5. Step 5: Solve for x
    x = 835,014,454.63/27,086
  6. Step 6: Final answer
    x = 30,828.27

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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.