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Finding the Fourth Proportional to 26,144, 39,216 and 6,688

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Solution

The fourth proportional to 26,144, 39,216 and 6,688 is: 10,032

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,144 : 39,216 = 6,688 : x
  2. Step 2: Convert to fraction form
    26,144/39,216 = 6,688/x
  3. Step 3: Cross multiply
    26,144x = 39,216 × 6,688
  4. Step 4: Simplify right side
    26,144x = 262,276,608
  5. Step 5: Solve for x
    x = 262,276,608/26,144
  6. Step 6: Final answer
    x = 10,032

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.