Home / 4,114.40-6,172-1,192.64

Finding the Fourth Proportional to 4,114.40, 6,172 and 1,192.64

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Solution

The fourth proportional to 4,114.40, 6,172 and 1,192.64 is: 1,789.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.40 : 6,172 = 1,192.64 : x
  2. Step 2: Convert to fraction form
    4,114.40/6,172 = 1,192.64/x
  3. Step 3: Cross multiply
    4,114.40x = 6,172 × 1,192.64
  4. Step 4: Simplify right side
    4,114.40x = 7,360,974.08
  5. Step 5: Solve for x
    x = 7,360,974.08/4,114.40
  6. Step 6: Final answer
    x = 1,789.08

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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.