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Finding the Fourth Proportional to 31,709.70, 43,670.81 and 31,020.80

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Solution

The fourth proportional to 31,709.70, 43,670.81 and 31,020.80 is: 42,722.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,709.70 : 43,670.81 = 31,020.80 : x
  2. Step 2: Convert to fraction form
    31,709.70/43,670.81 = 31,020.80/x
  3. Step 3: Cross multiply
    31,709.70x = 43,670.81 × 31,020.80
  4. Step 4: Simplify right side
    31,709.70x = 1,354,703,322.05
  5. Step 5: Solve for x
    x = 1,354,703,322.05/31,709.70
  6. Step 6: Final answer
    x = 42,722.05

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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.