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Finding the Fourth Proportional to 5,191.12, 7,786.56 and 1,728.40

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Solution

The fourth proportional to 5,191.12, 7,786.56 and 1,728.40 is: 2,592.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.12 : 7,786.56 = 1,728.40 : x
  2. Step 2: Convert to fraction form
    5,191.12/7,786.56 = 1,728.40/x
  3. Step 3: Cross multiply
    5,191.12x = 7,786.56 × 1,728.40
  4. Step 4: Simplify right side
    5,191.12x = 13,458,290.30
  5. Step 5: Solve for x
    x = 13,458,290.30/5,191.12
  6. Step 6: Final answer
    x = 2,592.56

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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.