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Finding the Fourth Proportional to 1,904, 2,857.08 and 878

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Solution

The fourth proportional to 1,904, 2,857.08 and 878 is: 1,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904 : 2,857.08 = 878 : x
  2. Step 2: Convert to fraction form
    1,904/2,857.08 = 878/x
  3. Step 3: Cross multiply
    1,904x = 2,857.08 × 878
  4. Step 4: Simplify right side
    1,904x = 2,508,516.24
  5. Step 5: Solve for x
    x = 2,508,516.24/1,904
  6. Step 6: Final answer
    x = 1,317.50

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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.