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Finding the Fourth Proportional to 33,428.95, 50,143.50 and 8,469

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Solution

The fourth proportional to 33,428.95, 50,143.50 and 8,469 is: 12,703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,428.95 : 50,143.50 = 8,469 : x
  2. Step 2: Convert to fraction form
    33,428.95/50,143.50 = 8,469/x
  3. Step 3: Cross multiply
    33,428.95x = 50,143.50 × 8,469
  4. Step 4: Simplify right side
    33,428.95x = 424,665,301.50
  5. Step 5: Solve for x
    x = 424,665,301.50/33,428.95
  6. Step 6: Final answer
    x = 12,703.52

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1.5x scale

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.