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Finding the Fourth Proportional to 4,647.38, 6,971.06 and 2,917.22

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Solution

The fourth proportional to 4,647.38, 6,971.06 and 2,917.22 is: 4,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.38 : 6,971.06 = 2,917.22 : x
  2. Step 2: Convert to fraction form
    4,647.38/6,971.06 = 2,917.22/x
  3. Step 3: Cross multiply
    4,647.38x = 6,971.06 × 2,917.22
  4. Step 4: Simplify right side
    4,647.38x = 20,336,088.09
  5. Step 5: Solve for x
    x = 20,336,088.09/4,647.38
  6. Step 6: Final answer
    x = 4,375.82

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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.