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Finding the Fourth Proportional to 1,622.73, 2,238.93 and 1,033.86

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Solution

The fourth proportional to 1,622.73, 2,238.93 and 1,033.86 is: 1,426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.73 : 2,238.93 = 1,033.86 : x
  2. Step 2: Convert to fraction form
    1,622.73/2,238.93 = 1,033.86/x
  3. Step 3: Cross multiply
    1,622.73x = 2,238.93 × 1,033.86
  4. Step 4: Simplify right side
    1,622.73x = 2,314,740.17
  5. Step 5: Solve for x
    x = 2,314,740.17/1,622.73
  6. Step 6: Final answer
    x = 1,426.45

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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.