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Finding the Fourth Proportional to 9,413.00, 12,990 and 6,428.75

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Solution

The fourth proportional to 9,413.00, 12,990 and 6,428.75 is: 8,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.00 : 12,990 = 6,428.75 : x
  2. Step 2: Convert to fraction form
    9,413.00/12,990 = 6,428.75/x
  3. Step 3: Cross multiply
    9,413.00x = 12,990 × 6,428.75
  4. Step 4: Simplify right side
    9,413.00x = 83,509,397.55
  5. Step 5: Solve for x
    x = 83,509,397.55/9,413.00
  6. Step 6: Final answer
    x = 8,871.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.