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Finding the Fourth Proportional to 4,763.24, 7,143.32 and 1,643.19

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Solution

The fourth proportional to 4,763.24, 7,143.32 and 1,643.19 is: 2,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.24 : 7,143.32 = 1,643.19 : x
  2. Step 2: Convert to fraction form
    4,763.24/7,143.32 = 1,643.19/x
  3. Step 3: Cross multiply
    4,763.24x = 7,143.32 × 1,643.19
  4. Step 4: Simplify right side
    4,763.24x = 11,737,809.31
  5. Step 5: Solve for x
    x = 11,737,809.31/4,763.24
  6. Step 6: Final answer
    x = 2,464.25

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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.