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Finding the Fourth Proportional to 2,762.79, 4,142.97 and 1,376.07

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Solution

The fourth proportional to 2,762.79, 4,142.97 and 1,376.07 is: 2,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.79 : 4,142.97 = 1,376.07 : x
  2. Step 2: Convert to fraction form
    2,762.79/4,142.97 = 1,376.07/x
  3. Step 3: Cross multiply
    2,762.79x = 4,142.97 × 1,376.07
  4. Step 4: Simplify right side
    2,762.79x = 5,701,016.73
  5. Step 5: Solve for x
    x = 5,701,016.73/2,762.79
  6. Step 6: Final answer
    x = 2,063.50

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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.