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Finding the Fourth Proportional to 9,889.51, 13,647.19 and 5,413.17

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Solution

The fourth proportional to 9,889.51, 13,647.19 and 5,413.17 is: 7,469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.51 : 13,647.19 = 5,413.17 : x
  2. Step 2: Convert to fraction form
    9,889.51/13,647.19 = 5,413.17/x
  3. Step 3: Cross multiply
    9,889.51x = 13,647.19 × 5,413.17
  4. Step 4: Simplify right side
    9,889.51x = 73,874,532.43
  5. Step 5: Solve for x
    x = 73,874,532.43/9,889.51
  6. Step 6: Final answer
    x = 7,469.99

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1.5x scale

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.