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Finding the Fourth Proportional to 11,641.57, 17,471.09 and 8,529.50

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Solution

The fourth proportional to 11,641.57, 17,471.09 and 8,529.50 is: 12,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.57 : 17,471.09 = 8,529.50 : x
  2. Step 2: Convert to fraction form
    11,641.57/17,471.09 = 8,529.50/x
  3. Step 3: Cross multiply
    11,641.57x = 17,471.09 × 8,529.50
  4. Step 4: Simplify right side
    11,641.57x = 149,019,727.16
  5. Step 5: Solve for x
    x = 149,019,727.16/11,641.57
  6. Step 6: Final answer
    x = 12,800.65

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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.