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Finding the Fourth Proportional to 2,909, 4,364.90 and 1,448.28

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Solution

The fourth proportional to 2,909, 4,364.90 and 1,448.28 is: 2,173.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909 : 4,364.90 = 1,448.28 : x
  2. Step 2: Convert to fraction form
    2,909/4,364.90 = 1,448.28/x
  3. Step 3: Cross multiply
    2,909x = 4,364.90 × 1,448.28
  4. Step 4: Simplify right side
    2,909x = 6,321,597.37
  5. Step 5: Solve for x
    x = 6,321,597.37/2,909
  6. Step 6: Final answer
    x = 2,173.12

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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.