Home / 2,803.16-4,204.93-828.76

Finding the Fourth Proportional to 2,803.16, 4,204.93 and 828.76

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Solution

The fourth proportional to 2,803.16, 4,204.93 and 828.76 is: 1,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.16 : 4,204.93 = 828.76 : x
  2. Step 2: Convert to fraction form
    2,803.16/4,204.93 = 828.76/x
  3. Step 3: Cross multiply
    2,803.16x = 4,204.93 × 828.76
  4. Step 4: Simplify right side
    2,803.16x = 3,484,877.79
  5. Step 5: Solve for x
    x = 3,484,877.79/2,803.16
  6. Step 6: Final answer
    x = 1,243.20

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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.