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Finding the Fourth Proportional to 2,903.65, 4,007.23 and 1,644.70

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Solution

The fourth proportional to 2,903.65, 4,007.23 and 1,644.70 is: 2,269.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.65 : 4,007.23 = 1,644.70 : x
  2. Step 2: Convert to fraction form
    2,903.65/4,007.23 = 1,644.70/x
  3. Step 3: Cross multiply
    2,903.65x = 4,007.23 × 1,644.70
  4. Step 4: Simplify right side
    2,903.65x = 6,590,677.05
  5. Step 5: Solve for x
    x = 6,590,677.05/2,903.65
  6. Step 6: Final answer
    x = 2,269.79

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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.