Home / 2,014.07-3,020.19-780.54

Finding the Fourth Proportional to 2,014.07, 3,020.19 and 780.54

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Solution

The fourth proportional to 2,014.07, 3,020.19 and 780.54 is: 1,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.07 : 3,020.19 = 780.54 : x
  2. Step 2: Convert to fraction form
    2,014.07/3,020.19 = 780.54/x
  3. Step 3: Cross multiply
    2,014.07x = 3,020.19 × 780.54
  4. Step 4: Simplify right side
    2,014.07x = 2,357,364.85
  5. Step 5: Solve for x
    x = 2,357,364.85/2,014.07
  6. Step 6: Final answer
    x = 1,170.45

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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.