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Finding the Fourth Proportional to 2,200.84, 3,034.98 and 2,018.50

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Solution

The fourth proportional to 2,200.84, 3,034.98 and 2,018.50 is: 2,783.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.84 : 3,034.98 = 2,018.50 : x
  2. Step 2: Convert to fraction form
    2,200.84/3,034.98 = 2,018.50/x
  3. Step 3: Cross multiply
    2,200.84x = 3,034.98 × 2,018.50
  4. Step 4: Simplify right side
    2,200.84x = 6,126,107.13
  5. Step 5: Solve for x
    x = 6,126,107.13/2,200.84
  6. Step 6: Final answer
    x = 2,783.53

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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.