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Finding the Fourth Proportional to 2,427.63, 3,639.61 and 783.19

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Solution

The fourth proportional to 2,427.63, 3,639.61 and 783.19 is: 1,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.63 : 3,639.61 = 783.19 : x
  2. Step 2: Convert to fraction form
    2,427.63/3,639.61 = 783.19/x
  3. Step 3: Cross multiply
    2,427.63x = 3,639.61 × 783.19
  4. Step 4: Simplify right side
    2,427.63x = 2,850,506.16
  5. Step 5: Solve for x
    x = 2,850,506.16/2,427.63
  6. Step 6: Final answer
    x = 1,174.19

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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.