Home / 1,980.81-2,972.97-1,057.14

Finding the Fourth Proportional to 1,980.81, 2,972.97 and 1,057.14

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Solution

The fourth proportional to 1,980.81, 2,972.97 and 1,057.14 is: 1,586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.81 : 2,972.97 = 1,057.14 : x
  2. Step 2: Convert to fraction form
    1,980.81/2,972.97 = 1,057.14/x
  3. Step 3: Cross multiply
    1,980.81x = 2,972.97 × 1,057.14
  4. Step 4: Simplify right side
    1,980.81x = 3,142,845.51
  5. Step 5: Solve for x
    x = 3,142,845.51/1,980.81
  6. Step 6: Final answer
    x = 1,586.65

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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.