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Finding the Fourth Proportional to 3,901.71, 5,851.36 and 2,051.80

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Solution

The fourth proportional to 3,901.71, 5,851.36 and 2,051.80 is: 3,077.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.71 : 5,851.36 = 2,051.80 : x
  2. Step 2: Convert to fraction form
    3,901.71/5,851.36 = 2,051.80/x
  3. Step 3: Cross multiply
    3,901.71x = 5,851.36 × 2,051.80
  4. Step 4: Simplify right side
    3,901.71x = 12,005,820.45
  5. Step 5: Solve for x
    x = 12,005,820.45/3,901.71
  6. Step 6: Final answer
    x = 3,077.07

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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.