Home / 2,024-2,792.46-1,278.74

Finding the Fourth Proportional to 2,024, 2,792.46 and 1,278.74

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Solution

The fourth proportional to 2,024, 2,792.46 and 1,278.74 is: 1,764.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024 : 2,792.46 = 1,278.74 : x
  2. Step 2: Convert to fraction form
    2,024/2,792.46 = 1,278.74/x
  3. Step 3: Cross multiply
    2,024x = 2,792.46 × 1,278.74
  4. Step 4: Simplify right side
    2,024x = 3,570,830.30
  5. Step 5: Solve for x
    x = 3,570,830.30/2,024
  6. Step 6: Final answer
    x = 1,764.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.