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Finding the Fourth Proportional to 31,104, 42,908.74 and 21,035.97

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Solution

The fourth proportional to 31,104, 42,908.74 and 21,035.97 is: 29,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104 : 42,908.74 = 21,035.97 : x
  2. Step 2: Convert to fraction form
    31,104/42,908.74 = 21,035.97/x
  3. Step 3: Cross multiply
    31,104x = 42,908.74 × 21,035.97
  4. Step 4: Simplify right side
    31,104x = 902,626,914.79
  5. Step 5: Solve for x
    x = 902,626,914.79/31,104
  6. Step 6: Final answer
    x = 29,019.64

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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.