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Finding the Fourth Proportional to 30,284, 45,426.12 and 8,396

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Solution

The fourth proportional to 30,284, 45,426.12 and 8,396 is: 12,594.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,284 : 45,426.12 = 8,396 : x
  2. Step 2: Convert to fraction form
    30,284/45,426.12 = 8,396/x
  3. Step 3: Cross multiply
    30,284x = 45,426.12 × 8,396
  4. Step 4: Simplify right side
    30,284x = 381,397,703.52
  5. Step 5: Solve for x
    x = 381,397,703.52/30,284
  6. Step 6: Final answer
    x = 12,594.03

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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.