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Finding the Fourth Proportional to 2,665.20, 3,999.69 and 933.84

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Solution

The fourth proportional to 2,665.20, 3,999.69 and 933.84 is: 1,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.20 : 3,999.69 = 933.84 : x
  2. Step 2: Convert to fraction form
    2,665.20/3,999.69 = 933.84/x
  3. Step 3: Cross multiply
    2,665.20x = 3,999.69 × 933.84
  4. Step 4: Simplify right side
    2,665.20x = 3,735,070.51
  5. Step 5: Solve for x
    x = 3,735,070.51/2,665.20
  6. Step 6: Final answer
    x = 1,401.42

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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.