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Finding the Fourth Proportional to 1,920.42, 2,649.36 and 1,212

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Solution

The fourth proportional to 1,920.42, 2,649.36 and 1,212 is: 1,672.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.42 : 2,649.36 = 1,212 : x
  2. Step 2: Convert to fraction form
    1,920.42/2,649.36 = 1,212/x
  3. Step 3: Cross multiply
    1,920.42x = 2,649.36 × 1,212
  4. Step 4: Simplify right side
    1,920.42x = 3,211,024.32
  5. Step 5: Solve for x
    x = 3,211,024.32/1,920.42
  6. Step 6: Final answer
    x = 1,672.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.