Home / 2,803.15-4,204.58-828.68

Finding the Fourth Proportional to 2,803.15, 4,204.58 and 828.68

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Solution

The fourth proportional to 2,803.15, 4,204.58 and 828.68 is: 1,242.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.15 : 4,204.58 = 828.68 : x
  2. Step 2: Convert to fraction form
    2,803.15/4,204.58 = 828.68/x
  3. Step 3: Cross multiply
    2,803.15x = 4,204.58 × 828.68
  4. Step 4: Simplify right side
    2,803.15x = 3,484,247.21
  5. Step 5: Solve for x
    x = 3,484,247.21/2,803.15
  6. Step 6: Final answer
    x = 1,242.98

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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.