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Finding the Fourth Proportional to 2,969, 4,447.58 and 1,799.40

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Solution

The fourth proportional to 2,969, 4,447.58 and 1,799.40 is: 2,695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969 : 4,447.58 = 1,799.40 : x
  2. Step 2: Convert to fraction form
    2,969/4,447.58 = 1,799.40/x
  3. Step 3: Cross multiply
    2,969x = 4,447.58 × 1,799.40
  4. Step 4: Simplify right side
    2,969x = 8,002,975.45
  5. Step 5: Solve for x
    x = 8,002,975.45/2,969
  6. Step 6: Final answer
    x = 2,695.51

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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.