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Finding the Fourth Proportional to 19,710.80, 27,201.48 and 11,330

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Solution

The fourth proportional to 19,710.80, 27,201.48 and 11,330 is: 15,635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710.80 : 27,201.48 = 11,330 : x
  2. Step 2: Convert to fraction form
    19,710.80/27,201.48 = 11,330/x
  3. Step 3: Cross multiply
    19,710.80x = 27,201.48 × 11,330
  4. Step 4: Simplify right side
    19,710.80x = 308,192,768.40
  5. Step 5: Solve for x
    x = 308,192,768.40/19,710.80
  6. Step 6: Final answer
    x = 15,635.73

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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.