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Finding the Fourth Proportional to 11,174, 15,420.60 and 6,206

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Solution

The fourth proportional to 11,174, 15,420.60 and 6,206 is: 8,564.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174 : 15,420.60 = 6,206 : x
  2. Step 2: Convert to fraction form
    11,174/15,420.60 = 6,206/x
  3. Step 3: Cross multiply
    11,174x = 15,420.60 × 6,206
  4. Step 4: Simplify right side
    11,174x = 95,700,243.60
  5. Step 5: Solve for x
    x = 95,700,243.60/11,174
  6. Step 6: Final answer
    x = 8,564.55

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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.