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Finding the Fourth Proportional to 3,191.94, 4,782.50 and 1,956.77

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Solution

The fourth proportional to 3,191.94, 4,782.50 and 1,956.77 is: 2,931.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.94 : 4,782.50 = 1,956.77 : x
  2. Step 2: Convert to fraction form
    3,191.94/4,782.50 = 1,956.77/x
  3. Step 3: Cross multiply
    3,191.94x = 4,782.50 × 1,956.77
  4. Step 4: Simplify right side
    3,191.94x = 9,358,252.53
  5. Step 5: Solve for x
    x = 9,358,252.53/3,191.94
  6. Step 6: Final answer
    x = 2,931.84

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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.