Home / 3,178.68-4,768.32-1,098.40

Finding the Fourth Proportional to 3,178.68, 4,768.32 and 1,098.40

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Solution

The fourth proportional to 3,178.68, 4,768.32 and 1,098.40 is: 1,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.68 : 4,768.32 = 1,098.40 : x
  2. Step 2: Convert to fraction form
    3,178.68/4,768.32 = 1,098.40/x
  3. Step 3: Cross multiply
    3,178.68x = 4,768.32 × 1,098.40
  4. Step 4: Simplify right side
    3,178.68x = 5,237,522.69
  5. Step 5: Solve for x
    x = 5,237,522.69/3,178.68
  6. Step 6: Final answer
    x = 1,647.70

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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.