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Finding the Fourth Proportional to 6,647.16, 9,971.16 and 3,356.40

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Solution

The fourth proportional to 6,647.16, 9,971.16 and 3,356.40 is: 5,034.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.16 : 9,971.16 = 3,356.40 : x
  2. Step 2: Convert to fraction form
    6,647.16/9,971.16 = 3,356.40/x
  3. Step 3: Cross multiply
    6,647.16x = 9,971.16 × 3,356.40
  4. Step 4: Simplify right side
    6,647.16x = 33,467,201.42
  5. Step 5: Solve for x
    x = 33,467,201.42/6,647.16
  6. Step 6: Final answer
    x = 5,034.81

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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.