Home / 2,652-3,974.70-1,678.38

Finding the Fourth Proportional to 2,652, 3,974.70 and 1,678.38

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Solution

The fourth proportional to 2,652, 3,974.70 and 1,678.38 is: 2,515.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652 : 3,974.70 = 1,678.38 : x
  2. Step 2: Convert to fraction form
    2,652/3,974.70 = 1,678.38/x
  3. Step 3: Cross multiply
    2,652x = 3,974.70 × 1,678.38
  4. Step 4: Simplify right side
    2,652x = 6,671,056.99
  5. Step 5: Solve for x
    x = 6,671,056.99/2,652
  6. Step 6: Final answer
    x = 2,515.48

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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.