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Finding the Fourth Proportional to 30,084, 45,126 and 8,196

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Solution

The fourth proportional to 30,084, 45,126 and 8,196 is: 12,294

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,084 : 45,126 = 8,196 : x
  2. Step 2: Convert to fraction form
    30,084/45,126 = 8,196/x
  3. Step 3: Cross multiply
    30,084x = 45,126 × 8,196
  4. Step 4: Simplify right side
    30,084x = 369,852,696
  5. Step 5: Solve for x
    x = 369,852,696/30,084
  6. Step 6: Final answer
    x = 12,294

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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.