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Finding the Fourth Proportional to 36,922, 55,382.76 and 9,220

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Solution

The fourth proportional to 36,922, 55,382.76 and 9,220 is: 13,829.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,922 : 55,382.76 = 9,220 : x
  2. Step 2: Convert to fraction form
    36,922/55,382.76 = 9,220/x
  3. Step 3: Cross multiply
    36,922x = 55,382.76 × 9,220
  4. Step 4: Simplify right side
    36,922x = 510,629,047.20
  5. Step 5: Solve for x
    x = 510,629,047.20/36,922
  6. Step 6: Final answer
    x = 13,829.94

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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.