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Finding the Fourth Proportional to 7,830.42, 11,742.74 and 5,489.24

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Solution

The fourth proportional to 7,830.42, 11,742.74 and 5,489.24 is: 8,231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.42 : 11,742.74 = 5,489.24 : x
  2. Step 2: Convert to fraction form
    7,830.42/11,742.74 = 5,489.24/x
  3. Step 3: Cross multiply
    7,830.42x = 11,742.74 × 5,489.24
  4. Step 4: Simplify right side
    7,830.42x = 64,458,652.54
  5. Step 5: Solve for x
    x = 64,458,652.54/7,830.42
  6. Step 6: Final answer
    x = 8,231.82

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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.