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Finding the Fourth Proportional to 30,805.86, 42,504 and 18,052.20

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Solution

The fourth proportional to 30,805.86, 42,504 and 18,052.20 is: 24,907.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,805.86 : 42,504 = 18,052.20 : x
  2. Step 2: Convert to fraction form
    30,805.86/42,504 = 18,052.20/x
  3. Step 3: Cross multiply
    30,805.86x = 42,504 × 18,052.20
  4. Step 4: Simplify right side
    30,805.86x = 767,290,708.80
  5. Step 5: Solve for x
    x = 767,290,708.80/30,805.86
  6. Step 6: Final answer
    x = 24,907.30

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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.