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Finding the Fourth Proportional to 2,801.30, 4,203.30 and 1,977.80

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Solution

The fourth proportional to 2,801.30, 4,203.30 and 1,977.80 is: 2,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.30 : 4,203.30 = 1,977.80 : x
  2. Step 2: Convert to fraction form
    2,801.30/4,203.30 = 1,977.80/x
  3. Step 3: Cross multiply
    2,801.30x = 4,203.30 × 1,977.80
  4. Step 4: Simplify right side
    2,801.30x = 8,313,286.74
  5. Step 5: Solve for x
    x = 8,313,286.74/2,801.30
  6. Step 6: Final answer
    x = 2,967.65

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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.