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Finding the Fourth Proportional to 5,072.66, 7,608.72 and 1,785.78

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Solution

The fourth proportional to 5,072.66, 7,608.72 and 1,785.78 is: 2,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.66 : 7,608.72 = 1,785.78 : x
  2. Step 2: Convert to fraction form
    5,072.66/7,608.72 = 1,785.78/x
  3. Step 3: Cross multiply
    5,072.66x = 7,608.72 × 1,785.78
  4. Step 4: Simplify right side
    5,072.66x = 13,587,500.00
  5. Step 5: Solve for x
    x = 13,587,500.00/5,072.66
  6. Step 6: Final answer
    x = 2,678.57

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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.