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Finding the Fourth Proportional to 14,857.94, 20,503.94 and 8,143.62

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Solution

The fourth proportional to 14,857.94, 20,503.94 and 8,143.62 is: 11,238.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857.94 : 20,503.94 = 8,143.62 : x
  2. Step 2: Convert to fraction form
    14,857.94/20,503.94 = 8,143.62/x
  3. Step 3: Cross multiply
    14,857.94x = 20,503.94 × 8,143.62
  4. Step 4: Simplify right side
    14,857.94x = 166,976,255.14
  5. Step 5: Solve for x
    x = 166,976,255.14/14,857.94
  6. Step 6: Final answer
    x = 11,238.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.