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Finding the Fourth Proportional to 27,345, 40,989.48 and 20,757.24

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Solution

The fourth proportional to 27,345, 40,989.48 and 20,757.24 is: 31,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,345 : 40,989.48 = 20,757.24 : x
  2. Step 2: Convert to fraction form
    27,345/40,989.48 = 20,757.24/x
  3. Step 3: Cross multiply
    27,345x = 40,989.48 × 20,757.24
  4. Step 4: Simplify right side
    27,345x = 850,828,473.84
  5. Step 5: Solve for x
    x = 850,828,473.84/27,345
  6. Step 6: Final answer
    x = 31,114.59

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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.