Home / 1,981.69-2,971.64-1,057.03

Finding the Fourth Proportional to 1,981.69, 2,971.64 and 1,057.03

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Solution

The fourth proportional to 1,981.69, 2,971.64 and 1,057.03 is: 1,585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.69 : 2,971.64 = 1,057.03 : x
  2. Step 2: Convert to fraction form
    1,981.69/2,971.64 = 1,057.03/x
  3. Step 3: Cross multiply
    1,981.69x = 2,971.64 × 1,057.03
  4. Step 4: Simplify right side
    1,981.69x = 3,141,107.84
  5. Step 5: Solve for x
    x = 3,141,107.84/1,981.69
  6. Step 6: Final answer
    x = 1,585.07

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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.