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Finding the Fourth Proportional to 12,640.52, 17,444 and 6,975.10

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Solution

The fourth proportional to 12,640.52, 17,444 and 6,975.10 is: 9,625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640.52 : 17,444 = 6,975.10 : x
  2. Step 2: Convert to fraction form
    12,640.52/17,444 = 6,975.10/x
  3. Step 3: Cross multiply
    12,640.52x = 17,444 × 6,975.10
  4. Step 4: Simplify right side
    12,640.52x = 121,673,644.40
  5. Step 5: Solve for x
    x = 121,673,644.40/12,640.52
  6. Step 6: Final answer
    x = 9,625.68

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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.