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Finding the Fourth Proportional to 8,178, 12,271.12 and 3,735.16

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Solution

The fourth proportional to 8,178, 12,271.12 and 3,735.16 is: 5,604.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178 : 12,271.12 = 3,735.16 : x
  2. Step 2: Convert to fraction form
    8,178/12,271.12 = 3,735.16/x
  3. Step 3: Cross multiply
    8,178x = 12,271.12 × 3,735.16
  4. Step 4: Simplify right side
    8,178x = 45,834,596.58
  5. Step 5: Solve for x
    x = 45,834,596.58/8,178
  6. Step 6: Final answer
    x = 5,604.62

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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.