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Finding the Fourth Proportional to 9,032.32, 13,539.18 and 5,128.48

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Solution

The fourth proportional to 9,032.32, 13,539.18 and 5,128.48 is: 7,687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.32 : 13,539.18 = 5,128.48 : x
  2. Step 2: Convert to fraction form
    9,032.32/13,539.18 = 5,128.48/x
  3. Step 3: Cross multiply
    9,032.32x = 13,539.18 × 5,128.48
  4. Step 4: Simplify right side
    9,032.32x = 69,435,413.85
  5. Step 5: Solve for x
    x = 69,435,413.85/9,032.32
  6. Step 6: Final answer
    x = 7,687.44

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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.