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Finding the Fourth Proportional to 1,424.22, 1,948.50 and 1,418.06

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Solution

The fourth proportional to 1,424.22, 1,948.50 and 1,418.06 is: 1,940.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.22 : 1,948.50 = 1,418.06 : x
  2. Step 2: Convert to fraction form
    1,424.22/1,948.50 = 1,418.06/x
  3. Step 3: Cross multiply
    1,424.22x = 1,948.50 × 1,418.06
  4. Step 4: Simplify right side
    1,424.22x = 2,763,089.91
  5. Step 5: Solve for x
    x = 2,763,089.91/1,424.22
  6. Step 6: Final answer
    x = 1,940.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.