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Finding the Fourth Proportional to 31,761.68, 43,850.12 and 19,841.16

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Solution

The fourth proportional to 31,761.68, 43,850.12 and 19,841.16 is: 27,392.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,761.68 : 43,850.12 = 19,841.16 : x
  2. Step 2: Convert to fraction form
    31,761.68/43,850.12 = 19,841.16/x
  3. Step 3: Cross multiply
    31,761.68x = 43,850.12 × 19,841.16
  4. Step 4: Simplify right side
    31,761.68x = 870,037,173.08
  5. Step 5: Solve for x
    x = 870,037,173.08/31,761.68
  6. Step 6: Final answer
    x = 27,392.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.