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Finding the Fourth Proportional to 30,083, 45,124.50 and 8,195

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Solution

The fourth proportional to 30,083, 45,124.50 and 8,195 is: 12,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,083 : 45,124.50 = 8,195 : x
  2. Step 2: Convert to fraction form
    30,083/45,124.50 = 8,195/x
  3. Step 3: Cross multiply
    30,083x = 45,124.50 × 8,195
  4. Step 4: Simplify right side
    30,083x = 369,795,277.50
  5. Step 5: Solve for x
    x = 369,795,277.50/30,083
  6. Step 6: Final answer
    x = 12,292.50

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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.