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Finding the Fourth Proportional to 8,054, 12,082.08 and 3,438.08

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Solution

The fourth proportional to 8,054, 12,082.08 and 3,438.08 is: 5,157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,054 : 12,082.08 = 3,438.08 : x
  2. Step 2: Convert to fraction form
    8,054/12,082.08 = 3,438.08/x
  3. Step 3: Cross multiply
    8,054x = 12,082.08 × 3,438.08
  4. Step 4: Simplify right side
    8,054x = 41,539,157.61
  5. Step 5: Solve for x
    x = 41,539,157.61/8,054
  6. Step 6: Final answer
    x = 5,157.58

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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.