Home / 1,981.80-2,967.30-1,546.20

Finding the Fourth Proportional to 1,981.80, 2,967.30 and 1,546.20

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Solution

The fourth proportional to 1,981.80, 2,967.30 and 1,546.20 is: 2,315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.80 : 2,967.30 = 1,546.20 : x
  2. Step 2: Convert to fraction form
    1,981.80/2,967.30 = 1,546.20/x
  3. Step 3: Cross multiply
    1,981.80x = 2,967.30 × 1,546.20
  4. Step 4: Simplify right side
    1,981.80x = 4,588,039.26
  5. Step 5: Solve for x
    x = 4,588,039.26/1,981.80
  6. Step 6: Final answer
    x = 2,315.09

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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.