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Finding the Fourth Proportional to 2,391.13, 3,586.82 and 852.13

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Solution

The fourth proportional to 2,391.13, 3,586.82 and 852.13 is: 1,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.13 : 3,586.82 = 852.13 : x
  2. Step 2: Convert to fraction form
    2,391.13/3,586.82 = 852.13/x
  3. Step 3: Cross multiply
    2,391.13x = 3,586.82 × 852.13
  4. Step 4: Simplify right side
    2,391.13x = 3,056,421.12
  5. Step 5: Solve for x
    x = 3,056,421.12/2,391.13
  6. Step 6: Final answer
    x = 1,278.24

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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.