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Finding the Fourth Proportional to 3,235.71, 4,467.05 and 1,977.06

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Solution

The fourth proportional to 3,235.71, 4,467.05 and 1,977.06 is: 2,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.71 : 4,467.05 = 1,977.06 : x
  2. Step 2: Convert to fraction form
    3,235.71/4,467.05 = 1,977.06/x
  3. Step 3: Cross multiply
    3,235.71x = 4,467.05 × 1,977.06
  4. Step 4: Simplify right side
    3,235.71x = 8,831,625.87
  5. Step 5: Solve for x
    x = 8,831,625.87/3,235.71
  6. Step 6: Final answer
    x = 2,729.42

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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.