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Finding the Fourth Proportional to 1,209.78, 1,823.49 and 1,100.43

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Solution

The fourth proportional to 1,209.78, 1,823.49 and 1,100.43 is: 1,658.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.78 : 1,823.49 = 1,100.43 : x
  2. Step 2: Convert to fraction form
    1,209.78/1,823.49 = 1,100.43/x
  3. Step 3: Cross multiply
    1,209.78x = 1,823.49 × 1,100.43
  4. Step 4: Simplify right side
    1,209.78x = 2,006,623.10
  5. Step 5: Solve for x
    x = 2,006,623.10/1,209.78
  6. Step 6: Final answer
    x = 1,658.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.