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Finding the Fourth Proportional to 1,904.08, 2,856.20 and 931

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Solution

The fourth proportional to 1,904.08, 2,856.20 and 931 is: 1,396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.08 : 2,856.20 = 931 : x
  2. Step 2: Convert to fraction form
    1,904.08/2,856.20 = 931/x
  3. Step 3: Cross multiply
    1,904.08x = 2,856.20 × 931
  4. Step 4: Simplify right side
    1,904.08x = 2,659,122.20
  5. Step 5: Solve for x
    x = 2,659,122.20/1,904.08
  6. Step 6: Final answer
    x = 1,396.54

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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.