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Finding the Fourth Proportional to 17,621, 26,431.50 and 6,677

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Solution

The fourth proportional to 17,621, 26,431.50 and 6,677 is: 10,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,621 : 26,431.50 = 6,677 : x
  2. Step 2: Convert to fraction form
    17,621/26,431.50 = 6,677/x
  3. Step 3: Cross multiply
    17,621x = 26,431.50 × 6,677
  4. Step 4: Simplify right side
    17,621x = 176,483,125.50
  5. Step 5: Solve for x
    x = 176,483,125.50/17,621
  6. Step 6: Final answer
    x = 10,015.50

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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.