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Finding the Fourth Proportional to 11,469.31, 15,828.06 and 6,433.54

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Solution

The fourth proportional to 11,469.31, 15,828.06 and 6,433.54 is: 8,878.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.31 : 15,828.06 = 6,433.54 : x
  2. Step 2: Convert to fraction form
    11,469.31/15,828.06 = 6,433.54/x
  3. Step 3: Cross multiply
    11,469.31x = 15,828.06 × 6,433.54
  4. Step 4: Simplify right side
    11,469.31x = 101,830,457.13
  5. Step 5: Solve for x
    x = 101,830,457.13/11,469.31
  6. Step 6: Final answer
    x = 8,878.52

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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.