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Finding the Fourth Proportional to 31,861.68, 47,814.12 and 11,085.12

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Solution

The fourth proportional to 31,861.68, 47,814.12 and 11,085.12 is: 16,635.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,861.68 : 47,814.12 = 11,085.12 : x
  2. Step 2: Convert to fraction form
    31,861.68/47,814.12 = 11,085.12/x
  3. Step 3: Cross multiply
    31,861.68x = 47,814.12 × 11,085.12
  4. Step 4: Simplify right side
    31,861.68x = 530,025,257.89
  5. Step 5: Solve for x
    x = 530,025,257.89/31,861.68
  6. Step 6: Final answer
    x = 16,635.19

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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.