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Finding the Fourth Proportional to 2,989, 4,121.70 and 1,809.64

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Solution

The fourth proportional to 2,989, 4,121.70 and 1,809.64 is: 2,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989 : 4,121.70 = 1,809.64 : x
  2. Step 2: Convert to fraction form
    2,989/4,121.70 = 1,809.64/x
  3. Step 3: Cross multiply
    2,989x = 4,121.70 × 1,809.64
  4. Step 4: Simplify right side
    2,989x = 7,458,793.19
  5. Step 5: Solve for x
    x = 7,458,793.19/2,989
  6. Step 6: Final answer
    x = 2,495.41

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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.