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Finding the Fourth Proportional to 2,975.68, 4,106.68 and 1,649.81

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Solution

The fourth proportional to 2,975.68, 4,106.68 and 1,649.81 is: 2,276.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.68 : 4,106.68 = 1,649.81 : x
  2. Step 2: Convert to fraction form
    2,975.68/4,106.68 = 1,649.81/x
  3. Step 3: Cross multiply
    2,975.68x = 4,106.68 × 1,649.81
  4. Step 4: Simplify right side
    2,975.68x = 6,775,241.73
  5. Step 5: Solve for x
    x = 6,775,241.73/2,975.68
  6. Step 6: Final answer
    x = 2,276.87

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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.