Home / 2,014.74-2,781.64-1,642.60

Finding the Fourth Proportional to 2,014.74, 2,781.64 and 1,642.60

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Solution

The fourth proportional to 2,014.74, 2,781.64 and 1,642.60 is: 2,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.74 : 2,781.64 = 1,642.60 : x
  2. Step 2: Convert to fraction form
    2,014.74/2,781.64 = 1,642.60/x
  3. Step 3: Cross multiply
    2,014.74x = 2,781.64 × 1,642.60
  4. Step 4: Simplify right side
    2,014.74x = 4,569,121.86
  5. Step 5: Solve for x
    x = 4,569,121.86/2,014.74
  6. Step 6: Final answer
    x = 2,267.85

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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.