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Finding the Fourth Proportional to 10,254, 15,379.44 and 2,857.68

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Solution

The fourth proportional to 10,254, 15,379.44 and 2,857.68 is: 4,286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254 : 15,379.44 = 2,857.68 : x
  2. Step 2: Convert to fraction form
    10,254/15,379.44 = 2,857.68/x
  3. Step 3: Cross multiply
    10,254x = 15,379.44 × 2,857.68
  4. Step 4: Simplify right side
    10,254x = 43,949,518.10
  5. Step 5: Solve for x
    x = 43,949,518.10/10,254
  6. Step 6: Final answer
    x = 4,286.09

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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.