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Finding the Fourth Proportional to 30,413.13, 45,619.48 and 8,228.78

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Solution

The fourth proportional to 30,413.13, 45,619.48 and 8,228.78 is: 12,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,413.13 : 45,619.48 = 8,228.78 : x
  2. Step 2: Convert to fraction form
    30,413.13/45,619.48 = 8,228.78/x
  3. Step 3: Cross multiply
    30,413.13x = 45,619.48 × 8,228.78
  4. Step 4: Simplify right side
    30,413.13x = 375,392,664.63
  5. Step 5: Solve for x
    x = 375,392,664.63/30,413.13
  6. Step 6: Final answer
    x = 12,343.11

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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.