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Finding the Fourth Proportional to 7,675.74, 11,513.12 and 2,745.14

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Solution

The fourth proportional to 7,675.74, 11,513.12 and 2,745.14 is: 4,117.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.74 : 11,513.12 = 2,745.14 : x
  2. Step 2: Convert to fraction form
    7,675.74/11,513.12 = 2,745.14/x
  3. Step 3: Cross multiply
    7,675.74x = 11,513.12 × 2,745.14
  4. Step 4: Simplify right side
    7,675.74x = 31,605,126.24
  5. Step 5: Solve for x
    x = 31,605,126.24/7,675.74
  6. Step 6: Final answer
    x = 4,117.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.