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Finding the Fourth Proportional to 1,956.35, 2,919.35 and 1,748.63

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Solution

The fourth proportional to 1,956.35, 2,919.35 and 1,748.63 is: 2,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.35 : 2,919.35 = 1,748.63 : x
  2. Step 2: Convert to fraction form
    1,956.35/2,919.35 = 1,748.63/x
  3. Step 3: Cross multiply
    1,956.35x = 2,919.35 × 1,748.63
  4. Step 4: Simplify right side
    1,956.35x = 5,104,846.21
  5. Step 5: Solve for x
    x = 5,104,846.21/1,956.35
  6. Step 6: Final answer
    x = 2,609.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.