Home / 1,980.71-2,971.05-519.84

Finding the Fourth Proportional to 1,980.71, 2,971.05 and 519.84

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Solution

The fourth proportional to 1,980.71, 2,971.05 and 519.84 is: 779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.71 : 2,971.05 = 519.84 : x
  2. Step 2: Convert to fraction form
    1,980.71/2,971.05 = 519.84/x
  3. Step 3: Cross multiply
    1,980.71x = 2,971.05 × 519.84
  4. Step 4: Simplify right side
    1,980.71x = 1,544,470.63
  5. Step 5: Solve for x
    x = 1,544,470.63/1,980.71
  6. Step 6: Final answer
    x = 779.76

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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.