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Finding the Fourth Proportional to 8,409.92, 12,623.79 and 4,715.24

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Solution

The fourth proportional to 8,409.92, 12,623.79 and 4,715.24 is: 7,077.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.92 : 12,623.79 = 4,715.24 : x
  2. Step 2: Convert to fraction form
    8,409.92/12,623.79 = 4,715.24/x
  3. Step 3: Cross multiply
    8,409.92x = 12,623.79 × 4,715.24
  4. Step 4: Simplify right side
    8,409.92x = 59,524,199.56
  5. Step 5: Solve for x
    x = 59,524,199.56/8,409.92
  6. Step 6: Final answer
    x = 7,077.86

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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.