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Finding the Fourth Proportional to 6,661.10, 9,942.25 and 5,767.64

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Solution

The fourth proportional to 6,661.10, 9,942.25 and 5,767.64 is: 8,608.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.10 : 9,942.25 = 5,767.64 : x
  2. Step 2: Convert to fraction form
    6,661.10/9,942.25 = 5,767.64/x
  3. Step 3: Cross multiply
    6,661.10x = 9,942.25 × 5,767.64
  4. Step 4: Simplify right side
    6,661.10x = 57,343,318.79
  5. Step 5: Solve for x
    x = 57,343,318.79/6,661.10
  6. Step 6: Final answer
    x = 8,608.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.