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Finding the Fourth Proportional to 19,656, 27,128.52 and 11,270.88

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Solution

The fourth proportional to 19,656, 27,128.52 and 11,270.88 is: 15,555.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,656 : 27,128.52 = 11,270.88 : x
  2. Step 2: Convert to fraction form
    19,656/27,128.52 = 11,270.88/x
  3. Step 3: Cross multiply
    19,656x = 27,128.52 × 11,270.88
  4. Step 4: Simplify right side
    19,656x = 305,762,293.50
  5. Step 5: Solve for x
    x = 305,762,293.50/19,656
  6. Step 6: Final answer
    x = 15,555.67

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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.