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Finding the Fourth Proportional to 2,394.12, 3,590.37 and 933.69

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Solution

The fourth proportional to 2,394.12, 3,590.37 and 933.69 is: 1,400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.12 : 3,590.37 = 933.69 : x
  2. Step 2: Convert to fraction form
    2,394.12/3,590.37 = 933.69/x
  3. Step 3: Cross multiply
    2,394.12x = 3,590.37 × 933.69
  4. Step 4: Simplify right side
    2,394.12x = 3,352,292.57
  5. Step 5: Solve for x
    x = 3,352,292.57/2,394.12
  6. Step 6: Final answer
    x = 1,400.22

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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.