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Finding the Fourth Proportional to 1,622.51, 2,238.00 and 1,382.62

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Solution

The fourth proportional to 1,622.51, 2,238.00 and 1,382.62 is: 1,907.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.51 : 2,238.00 = 1,382.62 : x
  2. Step 2: Convert to fraction form
    1,622.51/2,238.00 = 1,382.62/x
  3. Step 3: Cross multiply
    1,622.51x = 2,238.00 × 1,382.62
  4. Step 4: Simplify right side
    1,622.51x = 3,094,311.35
  5. Step 5: Solve for x
    x = 3,094,311.35/1,622.51
  6. Step 6: Final answer
    x = 1,907.11

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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.