Home / 1,946.09-2,912.58-1,123.13

Finding the Fourth Proportional to 1,946.09, 2,912.58 and 1,123.13

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Solution

The fourth proportional to 1,946.09, 2,912.58 and 1,123.13 is: 1,680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.09 : 2,912.58 = 1,123.13 : x
  2. Step 2: Convert to fraction form
    1,946.09/2,912.58 = 1,123.13/x
  3. Step 3: Cross multiply
    1,946.09x = 2,912.58 × 1,123.13
  4. Step 4: Simplify right side
    1,946.09x = 3,271,191.41
  5. Step 5: Solve for x
    x = 3,271,191.41/1,946.09
  6. Step 6: Final answer
    x = 1,680.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.