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Finding the Fourth Proportional to 6,647.64, 9,971.74 and 2,487.22

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Solution

The fourth proportional to 6,647.64, 9,971.74 and 2,487.22 is: 3,730.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.64 : 9,971.74 = 2,487.22 : x
  2. Step 2: Convert to fraction form
    6,647.64/9,971.74 = 2,487.22/x
  3. Step 3: Cross multiply
    6,647.64x = 9,971.74 × 2,487.22
  4. Step 4: Simplify right side
    6,647.64x = 24,801,911.16
  5. Step 5: Solve for x
    x = 24,801,911.16/6,647.64
  6. Step 6: Final answer
    x = 3,730.93

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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.