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Finding the Fourth Proportional to 18,578.46, 27,872.85 and 7,482.55

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Solution

The fourth proportional to 18,578.46, 27,872.85 and 7,482.55 is: 11,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,578.46 : 27,872.85 = 7,482.55 : x
  2. Step 2: Convert to fraction form
    18,578.46/27,872.85 = 7,482.55/x
  3. Step 3: Cross multiply
    18,578.46x = 27,872.85 × 7,482.55
  4. Step 4: Simplify right side
    18,578.46x = 208,559,993.77
  5. Step 5: Solve for x
    x = 208,559,993.77/18,578.46
  6. Step 6: Final answer
    x = 11,225.90

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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.