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Finding the Fourth Proportional to 7,185.95, 10,774.86 and 2,798.36

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Solution

The fourth proportional to 7,185.95, 10,774.86 and 2,798.36 is: 4,195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.95 : 10,774.86 = 2,798.36 : x
  2. Step 2: Convert to fraction form
    7,185.95/10,774.86 = 2,798.36/x
  3. Step 3: Cross multiply
    7,185.95x = 10,774.86 × 2,798.36
  4. Step 4: Simplify right side
    7,185.95x = 30,151,937.23
  5. Step 5: Solve for x
    x = 30,151,937.23/7,185.95
  6. Step 6: Final answer
    x = 4,195.96

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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.