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Finding the Fourth Proportional to 1,213.71, 1,809.93 and 1,202.62

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Solution

The fourth proportional to 1,213.71, 1,809.93 and 1,202.62 is: 1,793.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.71 : 1,809.93 = 1,202.62 : x
  2. Step 2: Convert to fraction form
    1,213.71/1,809.93 = 1,202.62/x
  3. Step 3: Cross multiply
    1,213.71x = 1,809.93 × 1,202.62
  4. Step 4: Simplify right side
    1,213.71x = 2,176,658.02
  5. Step 5: Solve for x
    x = 2,176,658.02/1,213.71
  6. Step 6: Final answer
    x = 1,793.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.