Home / 1,491.25-2,057.93-828.21

Finding the Fourth Proportional to 1,491.25, 2,057.93 and 828.21

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Solution

The fourth proportional to 1,491.25, 2,057.93 and 828.21 is: 1,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.25 : 2,057.93 = 828.21 : x
  2. Step 2: Convert to fraction form
    1,491.25/2,057.93 = 828.21/x
  3. Step 3: Cross multiply
    1,491.25x = 2,057.93 × 828.21
  4. Step 4: Simplify right side
    1,491.25x = 1,704,398.21
  5. Step 5: Solve for x
    x = 1,704,398.21/1,491.25
  6. Step 6: Final answer
    x = 1,142.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.