Home / 1,649.42-2,274.27-1,316.78

Finding the Fourth Proportional to 1,649.42, 2,274.27 and 1,316.78

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Solution

The fourth proportional to 1,649.42, 2,274.27 and 1,316.78 is: 1,815.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.42 : 2,274.27 = 1,316.78 : x
  2. Step 2: Convert to fraction form
    1,649.42/2,274.27 = 1,316.78/x
  3. Step 3: Cross multiply
    1,649.42x = 2,274.27 × 1,316.78
  4. Step 4: Simplify right side
    1,649.42x = 2,994,713.25
  5. Step 5: Solve for x
    x = 2,994,713.25/1,649.42
  6. Step 6: Final answer
    x = 1,815.62

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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.