Home / 4,655-6,982.50-1,192.25

Finding the Fourth Proportional to 4,655, 6,982.50 and 1,192.25

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Solution

The fourth proportional to 4,655, 6,982.50 and 1,192.25 is: 1,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655 : 6,982.50 = 1,192.25 : x
  2. Step 2: Convert to fraction form
    4,655/6,982.50 = 1,192.25/x
  3. Step 3: Cross multiply
    4,655x = 6,982.50 × 1,192.25
  4. Step 4: Simplify right side
    4,655x = 8,324,885.63
  5. Step 5: Solve for x
    x = 8,324,885.63/4,655
  6. Step 6: Final answer
    x = 1,788.38

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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.