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Finding the Fourth Proportional to 14,413.09, 19,895.03 and 8,446.69

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Solution

The fourth proportional to 14,413.09, 19,895.03 and 8,446.69 is: 11,659.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.09 : 19,895.03 = 8,446.69 : x
  2. Step 2: Convert to fraction form
    14,413.09/19,895.03 = 8,446.69/x
  3. Step 3: Cross multiply
    14,413.09x = 19,895.03 × 8,446.69
  4. Step 4: Simplify right side
    14,413.09x = 168,047,150.95
  5. Step 5: Solve for x
    x = 168,047,150.95/14,413.09
  6. Step 6: Final answer
    x = 11,659.34

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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.