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Finding the Fourth Proportional to 19,728.50, 27,226.14 and 11,345

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Solution

The fourth proportional to 19,728.50, 27,226.14 and 11,345 is: 15,656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,728.50 : 27,226.14 = 11,345 : x
  2. Step 2: Convert to fraction form
    19,728.50/27,226.14 = 11,345/x
  3. Step 3: Cross multiply
    19,728.50x = 27,226.14 × 11,345
  4. Step 4: Simplify right side
    19,728.50x = 308,880,558.30
  5. Step 5: Solve for x
    x = 308,880,558.30/19,728.50
  6. Step 6: Final answer
    x = 15,656.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.