Home / 1,981.46-2,969.49-1,431.20

Finding the Fourth Proportional to 1,981.46, 2,969.49 and 1,431.20

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Solution

The fourth proportional to 1,981.46, 2,969.49 and 1,431.20 is: 2,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.46 : 2,969.49 = 1,431.20 : x
  2. Step 2: Convert to fraction form
    1,981.46/2,969.49 = 1,431.20/x
  3. Step 3: Cross multiply
    1,981.46x = 2,969.49 × 1,431.20
  4. Step 4: Simplify right side
    1,981.46x = 4,249,934.09
  5. Step 5: Solve for x
    x = 4,249,934.09/1,981.46
  6. Step 6: Final answer
    x = 2,144.85

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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.