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Finding the Fourth Proportional to 2,167.45, 2,991.41 and 1,423.56

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Solution

The fourth proportional to 2,167.45, 2,991.41 and 1,423.56 is: 1,964.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.45 : 2,991.41 = 1,423.56 : x
  2. Step 2: Convert to fraction form
    2,167.45/2,991.41 = 1,423.56/x
  3. Step 3: Cross multiply
    2,167.45x = 2,991.41 × 1,423.56
  4. Step 4: Simplify right side
    2,167.45x = 4,258,455.18
  5. Step 5: Solve for x
    x = 4,258,455.18/2,167.45
  6. Step 6: Final answer
    x = 1,964.73

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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.