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Finding the Fourth Proportional to 1,209.79, 1,811.04 and 1,094.29

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Solution

The fourth proportional to 1,209.79, 1,811.04 and 1,094.29 is: 1,638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.79 : 1,811.04 = 1,094.29 : x
  2. Step 2: Convert to fraction form
    1,209.79/1,811.04 = 1,094.29/x
  3. Step 3: Cross multiply
    1,209.79x = 1,811.04 × 1,094.29
  4. Step 4: Simplify right side
    1,209.79x = 1,981,802.96
  5. Step 5: Solve for x
    x = 1,981,802.96/1,209.79
  6. Step 6: Final answer
    x = 1,638.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.