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Finding the Fourth Proportional to 6,651.72, 9,971.42 and 4,179

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Solution

The fourth proportional to 6,651.72, 9,971.42 and 4,179 is: 6,264.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.72 : 9,971.42 = 4,179 : x
  2. Step 2: Convert to fraction form
    6,651.72/9,971.42 = 4,179/x
  3. Step 3: Cross multiply
    6,651.72x = 9,971.42 × 4,179
  4. Step 4: Simplify right side
    6,651.72x = 41,670,564.18
  5. Step 5: Solve for x
    x = 41,670,564.18/6,651.72
  6. Step 6: Final answer
    x = 6,264.63

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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.