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Finding the Fourth Proportional to 1,213.78, 1,821.62 and 846.18

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Solution

The fourth proportional to 1,213.78, 1,821.62 and 846.18 is: 1,269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.78 : 1,821.62 = 846.18 : x
  2. Step 2: Convert to fraction form
    1,213.78/1,821.62 = 846.18/x
  3. Step 3: Cross multiply
    1,213.78x = 1,821.62 × 846.18
  4. Step 4: Simplify right side
    1,213.78x = 1,541,418.41
  5. Step 5: Solve for x
    x = 1,541,418.41/1,213.78
  6. Step 6: Final answer
    x = 1,269.93

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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.