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Finding the Fourth Proportional to 2,706.79, 4,056.42 and 1,519.78

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Solution

The fourth proportional to 2,706.79, 4,056.42 and 1,519.78 is: 2,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.79 : 4,056.42 = 1,519.78 : x
  2. Step 2: Convert to fraction form
    2,706.79/4,056.42 = 1,519.78/x
  3. Step 3: Cross multiply
    2,706.79x = 4,056.42 × 1,519.78
  4. Step 4: Simplify right side
    2,706.79x = 6,164,865.99
  5. Step 5: Solve for x
    x = 6,164,865.99/2,706.79
  6. Step 6: Final answer
    x = 2,277.56

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1.5x scale

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.