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Finding the Fourth Proportional to 6,851.65, 9,455.25 and 3,867.47

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Solution

The fourth proportional to 6,851.65, 9,455.25 and 3,867.47 is: 5,337.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.65 : 9,455.25 = 3,867.47 : x
  2. Step 2: Convert to fraction form
    6,851.65/9,455.25 = 3,867.47/x
  3. Step 3: Cross multiply
    6,851.65x = 9,455.25 × 3,867.47
  4. Step 4: Simplify right side
    6,851.65x = 36,567,895.72
  5. Step 5: Solve for x
    x = 36,567,895.72/6,851.65
  6. Step 6: Final answer
    x = 5,337.09

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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.