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Finding the Fourth Proportional to 6,449.79, 8,899.16 and 4,091.07

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Solution

The fourth proportional to 6,449.79, 8,899.16 and 4,091.07 is: 5,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.79 : 8,899.16 = 4,091.07 : x
  2. Step 2: Convert to fraction form
    6,449.79/8,899.16 = 4,091.07/x
  3. Step 3: Cross multiply
    6,449.79x = 8,899.16 × 4,091.07
  4. Step 4: Simplify right side
    6,449.79x = 36,407,066.05
  5. Step 5: Solve for x
    x = 36,407,066.05/6,449.79
  6. Step 6: Final answer
    x = 5,644.69

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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.