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Finding the Fourth Proportional to 6,644.56, 9,169.62 and 4,287.52

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Solution

The fourth proportional to 6,644.56, 9,169.62 and 4,287.52 is: 5,916.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.56 : 9,169.62 = 4,287.52 : x
  2. Step 2: Convert to fraction form
    6,644.56/9,169.62 = 4,287.52/x
  3. Step 3: Cross multiply
    6,644.56x = 9,169.62 × 4,287.52
  4. Step 4: Simplify right side
    6,644.56x = 39,314,929.14
  5. Step 5: Solve for x
    x = 39,314,929.14/6,644.56
  6. Step 6: Final answer
    x = 5,916.86

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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.