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Finding the Fourth Proportional to 5,185.50, 7,793.22 and 4,313.40

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Solution

The fourth proportional to 5,185.50, 7,793.22 and 4,313.40 is: 6,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.50 : 7,793.22 = 4,313.40 : x
  2. Step 2: Convert to fraction form
    5,185.50/7,793.22 = 4,313.40/x
  3. Step 3: Cross multiply
    5,185.50x = 7,793.22 × 4,313.40
  4. Step 4: Simplify right side
    5,185.50x = 33,615,275.15
  5. Step 5: Solve for x
    x = 33,615,275.15/5,185.50
  6. Step 6: Final answer
    x = 6,482.55

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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.