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Finding the Fourth Proportional to 9,192, 13,790.16 and 3,036

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Solution

The fourth proportional to 9,192, 13,790.16 and 3,036 is: 4,554.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192 : 13,790.16 = 3,036 : x
  2. Step 2: Convert to fraction form
    9,192/13,790.16 = 3,036/x
  3. Step 3: Cross multiply
    9,192x = 13,790.16 × 3,036
  4. Step 4: Simplify right side
    9,192x = 41,866,925.76
  5. Step 5: Solve for x
    x = 41,866,925.76/9,192
  6. Step 6: Final answer
    x = 4,554.71

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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.