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Finding the Fourth Proportional to 8,319, 12,457.89 and 6,454.56

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Solution

The fourth proportional to 8,319, 12,457.89 and 6,454.56 is: 9,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319 : 12,457.89 = 6,454.56 : x
  2. Step 2: Convert to fraction form
    8,319/12,457.89 = 6,454.56/x
  3. Step 3: Cross multiply
    8,319x = 12,457.89 × 6,454.56
  4. Step 4: Simplify right side
    8,319x = 80,410,198.48
  5. Step 5: Solve for x
    x = 80,410,198.48/8,319
  6. Step 6: Final answer
    x = 9,665.85

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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.