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Finding the Fourth Proportional to 1,919.42, 2,648.12 and 1,256.63

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Solution

The fourth proportional to 1,919.42, 2,648.12 and 1,256.63 is: 1,733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.42 : 2,648.12 = 1,256.63 : x
  2. Step 2: Convert to fraction form
    1,919.42/2,648.12 = 1,256.63/x
  3. Step 3: Cross multiply
    1,919.42x = 2,648.12 × 1,256.63
  4. Step 4: Simplify right side
    1,919.42x = 3,327,707.37
  5. Step 5: Solve for x
    x = 3,327,707.37/1,919.42
  6. Step 6: Final answer
    x = 1,733.71

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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.