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Finding the Fourth Proportional to 2,662.95, 3,996.90 and 1,347.64

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Solution

The fourth proportional to 2,662.95, 3,996.90 and 1,347.64 is: 2,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.95 : 3,996.90 = 1,347.64 : x
  2. Step 2: Convert to fraction form
    2,662.95/3,996.90 = 1,347.64/x
  3. Step 3: Cross multiply
    2,662.95x = 3,996.90 × 1,347.64
  4. Step 4: Simplify right side
    2,662.95x = 5,386,376.11
  5. Step 5: Solve for x
    x = 5,386,376.11/2,662.95
  6. Step 6: Final answer
    x = 2,022.71

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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.