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Finding the Fourth Proportional to 31,842.77, 43,931.82 and 19,100.08

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Solution

The fourth proportional to 31,842.77, 43,931.82 and 19,100.08 is: 26,351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,842.77 : 43,931.82 = 19,100.08 : x
  2. Step 2: Convert to fraction form
    31,842.77/43,931.82 = 19,100.08/x
  3. Step 3: Cross multiply
    31,842.77x = 43,931.82 × 19,100.08
  4. Step 4: Simplify right side
    31,842.77x = 839,101,166.72
  5. Step 5: Solve for x
    x = 839,101,166.72/31,842.77
  6. Step 6: Final answer
    x = 26,351.39

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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.