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Finding the Fourth Proportional to 1,809.05, 2,707.41 and 1,400.01

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Solution

The fourth proportional to 1,809.05, 2,707.41 and 1,400.01 is: 2,095.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.05 : 2,707.41 = 1,400.01 : x
  2. Step 2: Convert to fraction form
    1,809.05/2,707.41 = 1,400.01/x
  3. Step 3: Cross multiply
    1,809.05x = 2,707.41 × 1,400.01
  4. Step 4: Simplify right side
    1,809.05x = 3,790,396.17
  5. Step 5: Solve for x
    x = 3,790,396.17/1,809.05
  6. Step 6: Final answer
    x = 2,095.25

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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.