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Finding the Fourth Proportional to 8,313.72, 12,468.14 and 6,849.24

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Solution

The fourth proportional to 8,313.72, 12,468.14 and 6,849.24 is: 10,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.72 : 12,468.14 = 6,849.24 : x
  2. Step 2: Convert to fraction form
    8,313.72/12,468.14 = 6,849.24/x
  3. Step 3: Cross multiply
    8,313.72x = 12,468.14 × 6,849.24
  4. Step 4: Simplify right side
    8,313.72x = 85,397,283.21
  5. Step 5: Solve for x
    x = 85,397,283.21/8,313.72
  6. Step 6: Final answer
    x = 10,271.85

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1.5x scale

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.