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Finding the Fourth Proportional to 30,578.44, 45,854.02 and 10,589.80

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Solution

The fourth proportional to 30,578.44, 45,854.02 and 10,589.80 is: 15,879.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578.44 : 45,854.02 = 10,589.80 : x
  2. Step 2: Convert to fraction form
    30,578.44/45,854.02 = 10,589.80/x
  3. Step 3: Cross multiply
    30,578.44x = 45,854.02 × 10,589.80
  4. Step 4: Simplify right side
    30,578.44x = 485,584,901.00
  5. Step 5: Solve for x
    x = 485,584,901.00/30,578.44
  6. Step 6: Final answer
    x = 15,879.98

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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.