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Finding the Fourth Proportional to 2,966.78, 4,094.23 and 1,920.67

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Solution

The fourth proportional to 2,966.78, 4,094.23 and 1,920.67 is: 2,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.78 : 4,094.23 = 1,920.67 : x
  2. Step 2: Convert to fraction form
    2,966.78/4,094.23 = 1,920.67/x
  3. Step 3: Cross multiply
    2,966.78x = 4,094.23 × 1,920.67
  4. Step 4: Simplify right side
    2,966.78x = 7,863,664.73
  5. Step 5: Solve for x
    x = 7,863,664.73/2,966.78
  6. Step 6: Final answer
    x = 2,650.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.