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Finding the Fourth Proportional to 1,203.50, 1,802.19 and 1,092.56

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Solution

The fourth proportional to 1,203.50, 1,802.19 and 1,092.56 is: 1,636.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.50 : 1,802.19 = 1,092.56 : x
  2. Step 2: Convert to fraction form
    1,203.50/1,802.19 = 1,092.56/x
  3. Step 3: Cross multiply
    1,203.50x = 1,802.19 × 1,092.56
  4. Step 4: Simplify right side
    1,203.50x = 1,969,000.71
  5. Step 5: Solve for x
    x = 1,969,000.71/1,203.50
  6. Step 6: Final answer
    x = 1,636.06

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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.