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Finding the Fourth Proportional to 9,876.94, 14,815.44 and 2,857.34

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Solution

The fourth proportional to 9,876.94, 14,815.44 and 2,857.34 is: 4,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.94 : 14,815.44 = 2,857.34 : x
  2. Step 2: Convert to fraction form
    9,876.94/14,815.44 = 2,857.34/x
  3. Step 3: Cross multiply
    9,876.94x = 14,815.44 × 2,857.34
  4. Step 4: Simplify right side
    9,876.94x = 42,332,786.37
  5. Step 5: Solve for x
    x = 42,332,786.37/9,876.94
  6. Step 6: Final answer
    x = 4,286.02

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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.