Home / 1,980.83-2,971.41-519.97

Finding the Fourth Proportional to 1,980.83, 2,971.41 and 519.97

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Solution

The fourth proportional to 1,980.83, 2,971.41 and 519.97 is: 780.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.83 : 2,971.41 = 519.97 : x
  2. Step 2: Convert to fraction form
    1,980.83/2,971.41 = 519.97/x
  3. Step 3: Cross multiply
    1,980.83x = 2,971.41 × 519.97
  4. Step 4: Simplify right side
    1,980.83x = 1,545,044.06
  5. Step 5: Solve for x
    x = 1,545,044.06/1,980.83
  6. Step 6: Final answer
    x = 780.00

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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.