Home / 2,971.68-4,102.56-2,076.72

Finding the Fourth Proportional to 2,971.68, 4,102.56 and 2,076.72

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Solution

The fourth proportional to 2,971.68, 4,102.56 and 2,076.72 is: 2,867.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.68 : 4,102.56 = 2,076.72 : x
  2. Step 2: Convert to fraction form
    2,971.68/4,102.56 = 2,076.72/x
  3. Step 3: Cross multiply
    2,971.68x = 4,102.56 × 2,076.72
  4. Step 4: Simplify right side
    2,971.68x = 8,519,868.40
  5. Step 5: Solve for x
    x = 8,519,868.40/2,971.68
  6. Step 6: Final answer
    x = 2,867.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.