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Finding the Fourth Proportional to 1,628.76, 2,242.86 and 1,592.44

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Solution

The fourth proportional to 1,628.76, 2,242.86 and 1,592.44 is: 2,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.76 : 2,242.86 = 1,592.44 : x
  2. Step 2: Convert to fraction form
    1,628.76/2,242.86 = 1,592.44/x
  3. Step 3: Cross multiply
    1,628.76x = 2,242.86 × 1,592.44
  4. Step 4: Simplify right side
    1,628.76x = 3,571,619.98
  5. Step 5: Solve for x
    x = 3,571,619.98/1,628.76
  6. Step 6: Final answer
    x = 2,192.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.