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Finding the Fourth Proportional to 12,809.10, 19,221.06 and 5,413.08

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Solution

The fourth proportional to 12,809.10, 19,221.06 and 5,413.08 is: 8,122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.10 : 19,221.06 = 5,413.08 : x
  2. Step 2: Convert to fraction form
    12,809.10/19,221.06 = 5,413.08/x
  3. Step 3: Cross multiply
    12,809.10x = 19,221.06 × 5,413.08
  4. Step 4: Simplify right side
    12,809.10x = 104,045,135.46
  5. Step 5: Solve for x
    x = 104,045,135.46/12,809.10
  6. Step 6: Final answer
    x = 8,122.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.