Home / 3,102.76-4,676.47-2,971

Finding the Fourth Proportional to 3,102.76, 4,676.47 and 2,971

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Solution

The fourth proportional to 3,102.76, 4,676.47 and 2,971 is: 4,477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.76 : 4,676.47 = 2,971 : x
  2. Step 2: Convert to fraction form
    3,102.76/4,676.47 = 2,971/x
  3. Step 3: Cross multiply
    3,102.76x = 4,676.47 × 2,971
  4. Step 4: Simplify right side
    3,102.76x = 13,893,792.37
  5. Step 5: Solve for x
    x = 13,893,792.37/3,102.76
  6. Step 6: Final answer
    x = 4,477.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.