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Finding the Fourth Proportional to 5,198.40, 7,801.92 and 4,654.08

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Solution

The fourth proportional to 5,198.40, 7,801.92 and 4,654.08 is: 6,984.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.40 : 7,801.92 = 4,654.08 : x
  2. Step 2: Convert to fraction form
    5,198.40/7,801.92 = 4,654.08/x
  3. Step 3: Cross multiply
    5,198.40x = 7,801.92 × 4,654.08
  4. Step 4: Simplify right side
    5,198.40x = 36,310,759.83
  5. Step 5: Solve for x
    x = 36,310,759.83/5,198.40
  6. Step 6: Final answer
    x = 6,984.99

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1.5x scale

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.