Home / 2,780.46-4,167.64-1,684.53

Finding the Fourth Proportional to 2,780.46, 4,167.64 and 1,684.53

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Solution

The fourth proportional to 2,780.46, 4,167.64 and 1,684.53 is: 2,524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.46 : 4,167.64 = 1,684.53 : x
  2. Step 2: Convert to fraction form
    2,780.46/4,167.64 = 1,684.53/x
  3. Step 3: Cross multiply
    2,780.46x = 4,167.64 × 1,684.53
  4. Step 4: Simplify right side
    2,780.46x = 7,020,514.61
  5. Step 5: Solve for x
    x = 7,020,514.61/2,780.46
  6. Step 6: Final answer
    x = 2,524.95

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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.