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Finding the Fourth Proportional to 36,835, 55,252.50 and 12,211

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Solution

The fourth proportional to 36,835, 55,252.50 and 12,211 is: 18,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,835 : 55,252.50 = 12,211 : x
  2. Step 2: Convert to fraction form
    36,835/55,252.50 = 12,211/x
  3. Step 3: Cross multiply
    36,835x = 55,252.50 × 12,211
  4. Step 4: Simplify right side
    36,835x = 674,688,277.50
  5. Step 5: Solve for x
    x = 674,688,277.50/36,835
  6. Step 6: Final answer
    x = 18,316.50

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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.