Home / 2,077.90-3,118.14-780.28

Finding the Fourth Proportional to 2,077.90, 3,118.14 and 780.28

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Solution

The fourth proportional to 2,077.90, 3,118.14 and 780.28 is: 1,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.90 : 3,118.14 = 780.28 : x
  2. Step 2: Convert to fraction form
    2,077.90/3,118.14 = 780.28/x
  3. Step 3: Cross multiply
    2,077.90x = 3,118.14 × 780.28
  4. Step 4: Simplify right side
    2,077.90x = 2,433,022.28
  5. Step 5: Solve for x
    x = 2,433,022.28/2,077.90
  6. Step 6: Final answer
    x = 1,170.90

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1.5x scale

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.