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Finding the Fourth Proportional to 5,711.96, 7,873.08 and 3,822.88

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Solution

The fourth proportional to 5,711.96, 7,873.08 and 3,822.88 is: 5,269.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.96 : 7,873.08 = 3,822.88 : x
  2. Step 2: Convert to fraction form
    5,711.96/7,873.08 = 3,822.88/x
  3. Step 3: Cross multiply
    5,711.96x = 7,873.08 × 3,822.88
  4. Step 4: Simplify right side
    5,711.96x = 30,097,840.07
  5. Step 5: Solve for x
    x = 30,097,840.07/5,711.96
  6. Step 6: Final answer
    x = 5,269.27

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1.5x scale

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.