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Finding the Fourth Proportional to 1,621.80, 2,277 and 1,621.80

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Solution

The fourth proportional to 1,621.80, 2,277 and 1,621.80 is: 2,277

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.80 : 2,277 = 1,621.80 : x
  2. Step 2: Convert to fraction form
    1,621.80/2,277 = 1,621.80/x
  3. Step 3: Cross multiply
    1,621.80x = 2,277 × 1,621.80
  4. Step 4: Simplify right side
    1,621.80x = 3,692,838.60
  5. Step 5: Solve for x
    x = 3,692,838.60/1,621.80
  6. Step 6: Final answer
    x = 2,277

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.