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Finding the Fourth Proportional to 6,449.74, 8,900.74 and 3,617.74

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Solution

The fourth proportional to 6,449.74, 8,900.74 and 3,617.74 is: 4,992.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.74 : 8,900.74 = 3,617.74 : x
  2. Step 2: Convert to fraction form
    6,449.74/8,900.74 = 3,617.74/x
  3. Step 3: Cross multiply
    6,449.74x = 8,900.74 × 3,617.74
  4. Step 4: Simplify right side
    6,449.74x = 32,200,607.81
  5. Step 5: Solve for x
    x = 32,200,607.81/6,449.74
  6. Step 6: Final answer
    x = 4,992.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.