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Finding the Fourth Proportional to 2,775.90, 3,828.12 and 1,780.40

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Solution

The fourth proportional to 2,775.90, 3,828.12 and 1,780.40 is: 2,455.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.90 : 3,828.12 = 1,780.40 : x
  2. Step 2: Convert to fraction form
    2,775.90/3,828.12 = 1,780.40/x
  3. Step 3: Cross multiply
    2,775.90x = 3,828.12 × 1,780.40
  4. Step 4: Simplify right side
    2,775.90x = 6,815,584.85
  5. Step 5: Solve for x
    x = 6,815,584.85/2,775.90
  6. Step 6: Final answer
    x = 2,455.27

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1.5x scale

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.