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Finding the Fourth Proportional to 6,857.64, 9,453.85 and 4,867.47

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Solution

The fourth proportional to 6,857.64, 9,453.85 and 4,867.47 is: 6,710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.64 : 9,453.85 = 4,867.47 : x
  2. Step 2: Convert to fraction form
    6,857.64/9,453.85 = 4,867.47/x
  3. Step 3: Cross multiply
    6,857.64x = 9,453.85 × 4,867.47
  4. Step 4: Simplify right side
    6,857.64x = 46,016,319.09
  5. Step 5: Solve for x
    x = 46,016,319.09/6,857.64
  6. Step 6: Final answer
    x = 6,710.23

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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.