Home / 2,764.83-3,815.43-1,585.88

Finding the Fourth Proportional to 2,764.83, 3,815.43 and 1,585.88

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Solution

The fourth proportional to 2,764.83, 3,815.43 and 1,585.88 is: 2,188.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.83 : 3,815.43 = 1,585.88 : x
  2. Step 2: Convert to fraction form
    2,764.83/3,815.43 = 1,585.88/x
  3. Step 3: Cross multiply
    2,764.83x = 3,815.43 × 1,585.88
  4. Step 4: Simplify right side
    2,764.83x = 6,050,795.86
  5. Step 5: Solve for x
    x = 6,050,795.86/2,764.83
  6. Step 6: Final answer
    x = 2,188.49

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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.