Home / 3,178.56-4,768.96-1,423.42

Finding the Fourth Proportional to 3,178.56, 4,768.96 and 1,423.42

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Solution

The fourth proportional to 3,178.56, 4,768.96 and 1,423.42 is: 2,135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.56 : 4,768.96 = 1,423.42 : x
  2. Step 2: Convert to fraction form
    3,178.56/4,768.96 = 1,423.42/x
  3. Step 3: Cross multiply
    3,178.56x = 4,768.96 × 1,423.42
  4. Step 4: Simplify right side
    3,178.56x = 6,788,248.52
  5. Step 5: Solve for x
    x = 6,788,248.52/3,178.56
  6. Step 6: Final answer
    x = 2,135.64

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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.