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Finding the Fourth Proportional to 7,157.82, 10,739.74 and 3,873.18

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Solution

The fourth proportional to 7,157.82, 10,739.74 and 3,873.18 is: 5,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.82 : 10,739.74 = 3,873.18 : x
  2. Step 2: Convert to fraction form
    7,157.82/10,739.74 = 3,873.18/x
  3. Step 3: Cross multiply
    7,157.82x = 10,739.74 × 3,873.18
  4. Step 4: Simplify right side
    7,157.82x = 41,596,946.17
  5. Step 5: Solve for x
    x = 41,596,946.17/7,157.82
  6. Step 6: Final answer
    x = 5,811.40

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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.