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Finding the Fourth Proportional to 9,889.54, 13,647.42 and 5,413.19

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Solution

The fourth proportional to 9,889.54, 13,647.42 and 5,413.19 is: 7,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.54 : 13,647.42 = 5,413.19 : x
  2. Step 2: Convert to fraction form
    9,889.54/13,647.42 = 5,413.19/x
  3. Step 3: Cross multiply
    9,889.54x = 13,647.42 × 5,413.19
  4. Step 4: Simplify right side
    9,889.54x = 73,876,009.23
  5. Step 5: Solve for x
    x = 73,876,009.23/9,889.54
  6. Step 6: Final answer
    x = 7,470.12

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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.