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Finding the Fourth Proportional to 30,589.58, 42,214.03 and 18,488.41

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Solution

The fourth proportional to 30,589.58, 42,214.03 and 18,488.41 is: 25,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,589.58 : 42,214.03 = 18,488.41 : x
  2. Step 2: Convert to fraction form
    30,589.58/42,214.03 = 18,488.41/x
  3. Step 3: Cross multiply
    30,589.58x = 42,214.03 × 18,488.41
  4. Step 4: Simplify right side
    30,589.58x = 780,470,142.64
  5. Step 5: Solve for x
    x = 780,470,142.64/30,589.58
  6. Step 6: Final answer
    x = 25,514.25

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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.