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Finding the Fourth Proportional to 5,413.64, 8,113.16 and 4,772.12

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Solution

The fourth proportional to 5,413.64, 8,113.16 and 4,772.12 is: 7,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.64 : 8,113.16 = 4,772.12 : x
  2. Step 2: Convert to fraction form
    5,413.64/8,113.16 = 4,772.12/x
  3. Step 3: Cross multiply
    5,413.64x = 8,113.16 × 4,772.12
  4. Step 4: Simplify right side
    5,413.64x = 38,716,973.10
  5. Step 5: Solve for x
    x = 38,716,973.10/5,413.64
  6. Step 6: Final answer
    x = 7,151.75

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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.