Home / 2,830.40-3,904.10-1,780.64

Finding the Fourth Proportional to 2,830.40, 3,904.10 and 1,780.64

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Solution

The fourth proportional to 2,830.40, 3,904.10 and 1,780.64 is: 2,456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.40 : 3,904.10 = 1,780.64 : x
  2. Step 2: Convert to fraction form
    2,830.40/3,904.10 = 1,780.64/x
  3. Step 3: Cross multiply
    2,830.40x = 3,904.10 × 1,780.64
  4. Step 4: Simplify right side
    2,830.40x = 6,951,796.62
  5. Step 5: Solve for x
    x = 6,951,796.62/2,830.40
  6. Step 6: Final answer
    x = 2,456.12

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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.