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Finding the Fourth Proportional to 3,875.83, 5,351.22 and 2,977.97

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Solution

The fourth proportional to 3,875.83, 5,351.22 and 2,977.97 is: 4,111.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.83 : 5,351.22 = 2,977.97 : x
  2. Step 2: Convert to fraction form
    3,875.83/5,351.22 = 2,977.97/x
  3. Step 3: Cross multiply
    3,875.83x = 5,351.22 × 2,977.97
  4. Step 4: Simplify right side
    3,875.83x = 15,935,772.62
  5. Step 5: Solve for x
    x = 15,935,772.62/3,875.83
  6. Step 6: Final answer
    x = 4,111.58

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1.5x scale

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.