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Finding the Fourth Proportional to 11,960.99, 16,489.05 and 8,413.19

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Solution

The fourth proportional to 11,960.99, 16,489.05 and 8,413.19 is: 11,598.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960.99 : 16,489.05 = 8,413.19 : x
  2. Step 2: Convert to fraction form
    11,960.99/16,489.05 = 8,413.19/x
  3. Step 3: Cross multiply
    11,960.99x = 16,489.05 × 8,413.19
  4. Step 4: Simplify right side
    11,960.99x = 138,725,521.51
  5. Step 5: Solve for x
    x = 138,725,521.51/11,960.99
  6. Step 6: Final answer
    x = 11,598.17

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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.