Home / 1,983.40-2,975.10-1,954.60

Finding the Fourth Proportional to 1,983.40, 2,975.10 and 1,954.60

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Solution

The fourth proportional to 1,983.40, 2,975.10 and 1,954.60 is: 2,931.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.40 : 2,975.10 = 1,954.60 : x
  2. Step 2: Convert to fraction form
    1,983.40/2,975.10 = 1,954.60/x
  3. Step 3: Cross multiply
    1,983.40x = 2,975.10 × 1,954.60
  4. Step 4: Simplify right side
    1,983.40x = 5,815,130.46
  5. Step 5: Solve for x
    x = 5,815,130.46/1,983.40
  6. Step 6: Final answer
    x = 2,931.90

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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.