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Finding the Fourth Proportional to 11,174.26, 15,420.95 and 6,697.17

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Solution

The fourth proportional to 11,174.26, 15,420.95 and 6,697.17 is: 9,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174.26 : 15,420.95 = 6,697.17 : x
  2. Step 2: Convert to fraction form
    11,174.26/15,420.95 = 6,697.17/x
  3. Step 3: Cross multiply
    11,174.26x = 15,420.95 × 6,697.17
  4. Step 4: Simplify right side
    11,174.26x = 103,276,723.71
  5. Step 5: Solve for x
    x = 103,276,723.71/11,174.26
  6. Step 6: Final answer
    x = 9,242.38

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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.