Home / 1,119.21-1,541.62-782.52

Finding the Fourth Proportional to 1,119.21, 1,541.62 and 782.52

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Solution

The fourth proportional to 1,119.21, 1,541.62 and 782.52 is: 1,077.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.21 : 1,541.62 = 782.52 : x
  2. Step 2: Convert to fraction form
    1,119.21/1,541.62 = 782.52/x
  3. Step 3: Cross multiply
    1,119.21x = 1,541.62 × 782.52
  4. Step 4: Simplify right side
    1,119.21x = 1,206,348.48
  5. Step 5: Solve for x
    x = 1,206,348.48/1,119.21
  6. Step 6: Final answer
    x = 1,077.86

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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.