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Finding the Fourth Proportional to 2,391.36, 3,587.52 and 852.48

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Solution

The fourth proportional to 2,391.36, 3,587.52 and 852.48 is: 1,278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.36 : 3,587.52 = 852.48 : x
  2. Step 2: Convert to fraction form
    2,391.36/3,587.52 = 852.48/x
  3. Step 3: Cross multiply
    2,391.36x = 3,587.52 × 852.48
  4. Step 4: Simplify right side
    2,391.36x = 3,058,289.05
  5. Step 5: Solve for x
    x = 3,058,289.05/2,391.36
  6. Step 6: Final answer
    x = 1,278.89

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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.