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Finding the Fourth Proportional to 31,182.85, 46,745.11 and 11,456.11

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Solution

The fourth proportional to 31,182.85, 46,745.11 and 11,456.11 is: 17,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,182.85 : 46,745.11 = 11,456.11 : x
  2. Step 2: Convert to fraction form
    31,182.85/46,745.11 = 11,456.11/x
  3. Step 3: Cross multiply
    31,182.85x = 46,745.11 × 11,456.11
  4. Step 4: Simplify right side
    31,182.85x = 535,517,122.12
  5. Step 5: Solve for x
    x = 535,517,122.12/31,182.85
  6. Step 6: Final answer
    x = 17,173.45

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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.