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Finding the Fourth Proportional to 39,865, 55,016.20 and 21,960

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Solution

The fourth proportional to 39,865, 55,016.20 and 21,960 is: 30,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,865 : 55,016.20 = 21,960 : x
  2. Step 2: Convert to fraction form
    39,865/55,016.20 = 21,960/x
  3. Step 3: Cross multiply
    39,865x = 55,016.20 × 21,960
  4. Step 4: Simplify right side
    39,865x = 1,208,155,752
  5. Step 5: Solve for x
    x = 1,208,155,752/39,865
  6. Step 6: Final answer
    x = 30,306.18

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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.