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Finding the Fourth Proportional to 8,271.32, 12,394 and 7,033.64

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Solution

The fourth proportional to 8,271.32, 12,394 and 7,033.64 is: 10,539.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.32 : 12,394 = 7,033.64 : x
  2. Step 2: Convert to fraction form
    8,271.32/12,394 = 7,033.64/x
  3. Step 3: Cross multiply
    8,271.32x = 12,394 × 7,033.64
  4. Step 4: Simplify right side
    8,271.32x = 87,174,934.16
  5. Step 5: Solve for x
    x = 87,174,934.16/8,271.32
  6. Step 6: Final answer
    x = 10,539.42

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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.