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Finding the Fourth Proportional to 2,321.12, 3,482 and 782.56

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Solution

The fourth proportional to 2,321.12, 3,482 and 782.56 is: 1,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.12 : 3,482 = 782.56 : x
  2. Step 2: Convert to fraction form
    2,321.12/3,482 = 782.56/x
  3. Step 3: Cross multiply
    2,321.12x = 3,482 × 782.56
  4. Step 4: Simplify right side
    2,321.12x = 2,724,873.92
  5. Step 5: Solve for x
    x = 2,724,873.92/2,321.12
  6. Step 6: Final answer
    x = 1,173.95

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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.