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Finding the Fourth Proportional to 1,812.99, 2,503.97 and 1,222.50

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Solution

The fourth proportional to 1,812.99, 2,503.97 and 1,222.50 is: 1,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.99 : 2,503.97 = 1,222.50 : x
  2. Step 2: Convert to fraction form
    1,812.99/2,503.97 = 1,222.50/x
  3. Step 3: Cross multiply
    1,812.99x = 2,503.97 × 1,222.50
  4. Step 4: Simplify right side
    1,812.99x = 3,061,097.21
  5. Step 5: Solve for x
    x = 3,061,097.21/1,812.99
  6. Step 6: Final answer
    x = 1,688.42

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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.