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Finding the Fourth Proportional to 30,589, 42,219.78 and 18,017.80

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Solution

The fourth proportional to 30,589, 42,219.78 and 18,017.80 is: 24,868.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,589 : 42,219.78 = 18,017.80 : x
  2. Step 2: Convert to fraction form
    30,589/42,219.78 = 18,017.80/x
  3. Step 3: Cross multiply
    30,589x = 42,219.78 × 18,017.80
  4. Step 4: Simplify right side
    30,589x = 760,707,552.08
  5. Step 5: Solve for x
    x = 760,707,552.08/30,589
  6. Step 6: Final answer
    x = 24,868.66

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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.