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Finding the Fourth Proportional to 2,119.53, 3,178.80 and 803.42

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Solution

The fourth proportional to 2,119.53, 3,178.80 and 803.42 is: 1,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.53 : 3,178.80 = 803.42 : x
  2. Step 2: Convert to fraction form
    2,119.53/3,178.80 = 803.42/x
  3. Step 3: Cross multiply
    2,119.53x = 3,178.80 × 803.42
  4. Step 4: Simplify right side
    2,119.53x = 2,553,895.60
  5. Step 5: Solve for x
    x = 2,553,895.60/2,119.53
  6. Step 6: Final answer
    x = 1,204.93

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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.