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Finding the Fourth Proportional to 1,946.68, 2,672.13 and 1,720.69

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Solution

The fourth proportional to 1,946.68, 2,672.13 and 1,720.69 is: 2,361.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.68 : 2,672.13 = 1,720.69 : x
  2. Step 2: Convert to fraction form
    1,946.68/2,672.13 = 1,720.69/x
  3. Step 3: Cross multiply
    1,946.68x = 2,672.13 × 1,720.69
  4. Step 4: Simplify right side
    1,946.68x = 4,597,903.07
  5. Step 5: Solve for x
    x = 4,597,903.07/1,946.68
  6. Step 6: Final answer
    x = 2,361.92

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1.5x scale

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.