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Finding the Fourth Proportional to 7,885.44, 11,813.40 and 7,074

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Solution

The fourth proportional to 7,885.44, 11,813.40 and 7,074 is: 10,597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.44 : 11,813.40 = 7,074 : x
  2. Step 2: Convert to fraction form
    7,885.44/11,813.40 = 7,074/x
  3. Step 3: Cross multiply
    7,885.44x = 11,813.40 × 7,074
  4. Step 4: Simplify right side
    7,885.44x = 83,567,991.60
  5. Step 5: Solve for x
    x = 83,567,991.60/7,885.44
  6. Step 6: Final answer
    x = 10,597.76

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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.