Home / 5,102.60-7,042.06-2,977.97

Finding the Fourth Proportional to 5,102.60, 7,042.06 and 2,977.97

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Solution

The fourth proportional to 5,102.60, 7,042.06 and 2,977.97 is: 4,109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.60 : 7,042.06 = 2,977.97 : x
  2. Step 2: Convert to fraction form
    5,102.60/7,042.06 = 2,977.97/x
  3. Step 3: Cross multiply
    5,102.60x = 7,042.06 × 2,977.97
  4. Step 4: Simplify right side
    5,102.60x = 20,971,043.42
  5. Step 5: Solve for x
    x = 20,971,043.42/5,102.60
  6. Step 6: Final answer
    x = 4,109.87

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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.