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Finding the Fourth Proportional to 2,800.28, 3,864.36 and 1,621.28

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Solution

The fourth proportional to 2,800.28, 3,864.36 and 1,621.28 is: 2,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.28 : 3,864.36 = 1,621.28 : x
  2. Step 2: Convert to fraction form
    2,800.28/3,864.36 = 1,621.28/x
  3. Step 3: Cross multiply
    2,800.28x = 3,864.36 × 1,621.28
  4. Step 4: Simplify right side
    2,800.28x = 6,265,209.58
  5. Step 5: Solve for x
    x = 6,265,209.58/2,800.28
  6. Step 6: Final answer
    x = 2,237.35

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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.