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Finding the Fourth Proportional to 31,825, 43,918.74 and 19,895.35

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Solution

The fourth proportional to 31,825, 43,918.74 and 19,895.35 is: 27,455.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,825 : 43,918.74 = 19,895.35 : x
  2. Step 2: Convert to fraction form
    31,825/43,918.74 = 19,895.35/x
  3. Step 3: Cross multiply
    31,825x = 43,918.74 × 19,895.35
  4. Step 4: Simplify right side
    31,825x = 873,778,703.86
  5. Step 5: Solve for x
    x = 873,778,703.86/31,825
  6. Step 6: Final answer
    x = 27,455.73

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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.