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Finding the Fourth Proportional to 2,362.56, 3,544.26 and 975.12

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Solution

The fourth proportional to 2,362.56, 3,544.26 and 975.12 is: 1,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.56 : 3,544.26 = 975.12 : x
  2. Step 2: Convert to fraction form
    2,362.56/3,544.26 = 975.12/x
  3. Step 3: Cross multiply
    2,362.56x = 3,544.26 × 975.12
  4. Step 4: Simplify right side
    2,362.56x = 3,456,078.81
  5. Step 5: Solve for x
    x = 3,456,078.81/2,362.56
  6. Step 6: Final answer
    x = 1,462.85

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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.