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Finding the Fourth Proportional to 30,578.82, 45,872.82 and 10,855.74

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Solution

The fourth proportional to 30,578.82, 45,872.82 and 10,855.74 is: 16,285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578.82 : 45,872.82 = 10,855.74 : x
  2. Step 2: Convert to fraction form
    30,578.82/45,872.82 = 10,855.74/x
  3. Step 3: Cross multiply
    30,578.82x = 45,872.82 × 10,855.74
  4. Step 4: Simplify right side
    30,578.82x = 497,983,406.99
  5. Step 5: Solve for x
    x = 497,983,406.99/30,578.82
  6. Step 6: Final answer
    x = 16,285.24

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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.