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Finding the Fourth Proportional to 2,644.63, 3,964.61 and 999.97

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Solution

The fourth proportional to 2,644.63, 3,964.61 and 999.97 is: 1,499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.63 : 3,964.61 = 999.97 : x
  2. Step 2: Convert to fraction form
    2,644.63/3,964.61 = 999.97/x
  3. Step 3: Cross multiply
    2,644.63x = 3,964.61 × 999.97
  4. Step 4: Simplify right side
    2,644.63x = 3,964,505.95
  5. Step 5: Solve for x
    x = 3,964,505.95/2,644.63
  6. Step 6: Final answer
    x = 1,499.08

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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.