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Finding the Fourth Proportional to 7,857.58, 11,797.31 and 3,964.72

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Solution

The fourth proportional to 7,857.58, 11,797.31 and 3,964.72 is: 5,952.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.58 : 11,797.31 = 3,964.72 : x
  2. Step 2: Convert to fraction form
    7,857.58/11,797.31 = 3,964.72/x
  3. Step 3: Cross multiply
    7,857.58x = 11,797.31 × 3,964.72
  4. Step 4: Simplify right side
    7,857.58x = 46,773,030.90
  5. Step 5: Solve for x
    x = 46,773,030.90/7,857.58
  6. Step 6: Final answer
    x = 5,952.60

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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.