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Finding the Fourth Proportional to 19,576.40, 27,006.20 and 11,188

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Solution

The fourth proportional to 19,576.40, 27,006.20 and 11,188 is: 15,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,576.40 : 27,006.20 = 11,188 : x
  2. Step 2: Convert to fraction form
    19,576.40/27,006.20 = 11,188/x
  3. Step 3: Cross multiply
    19,576.40x = 27,006.20 × 11,188
  4. Step 4: Simplify right side
    19,576.40x = 302,145,365.60
  5. Step 5: Solve for x
    x = 302,145,365.60/19,576.40
  6. Step 6: Final answer
    x = 15,434.16

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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.