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Finding the Fourth Proportional to 9,889.62, 13,647.62 and 5,413.35

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Solution

The fourth proportional to 9,889.62, 13,647.62 and 5,413.35 is: 7,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.62 : 13,647.62 = 5,413.35 : x
  2. Step 2: Convert to fraction form
    9,889.62/13,647.62 = 5,413.35/x
  3. Step 3: Cross multiply
    9,889.62x = 13,647.62 × 5,413.35
  4. Step 4: Simplify right side
    9,889.62x = 73,879,343.73
  5. Step 5: Solve for x
    x = 73,879,343.73/9,889.62
  6. Step 6: Final answer
    x = 7,470.40

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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.