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Finding the Fourth Proportional to 2,135.71, 3,205.18 and 1,477.18

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Solution

The fourth proportional to 2,135.71, 3,205.18 and 1,477.18 is: 2,216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.71 : 3,205.18 = 1,477.18 : x
  2. Step 2: Convert to fraction form
    2,135.71/3,205.18 = 1,477.18/x
  3. Step 3: Cross multiply
    2,135.71x = 3,205.18 × 1,477.18
  4. Step 4: Simplify right side
    2,135.71x = 4,734,611.77
  5. Step 5: Solve for x
    x = 4,734,611.77/2,135.71
  6. Step 6: Final answer
    x = 2,216.88

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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.