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Finding the Fourth Proportional to 6,647.76, 9,971.64 and 2,949.12

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Solution

The fourth proportional to 6,647.76, 9,971.64 and 2,949.12 is: 4,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.76 : 9,971.64 = 2,949.12 : x
  2. Step 2: Convert to fraction form
    6,647.76/9,971.64 = 2,949.12/x
  3. Step 3: Cross multiply
    6,647.76x = 9,971.64 × 2,949.12
  4. Step 4: Simplify right side
    6,647.76x = 29,407,562.96
  5. Step 5: Solve for x
    x = 29,407,562.96/6,647.76
  6. Step 6: Final answer
    x = 4,423.68

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1.5x scale

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.