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Finding the Fourth Proportional to 1,956.71, 2,931.81 and 1,408.07

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Solution

The fourth proportional to 1,956.71, 2,931.81 and 1,408.07 is: 2,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.71 : 2,931.81 = 1,408.07 : x
  2. Step 2: Convert to fraction form
    1,956.71/2,931.81 = 1,408.07/x
  3. Step 3: Cross multiply
    1,956.71x = 2,931.81 × 1,408.07
  4. Step 4: Simplify right side
    1,956.71x = 4,128,179.05
  5. Step 5: Solve for x
    x = 4,128,179.05/1,956.71
  6. Step 6: Final answer
    x = 2,109.76

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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.