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Finding the Fourth Proportional to 30,986, 42,759.51 and 16,838.54

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Solution

The fourth proportional to 30,986, 42,759.51 and 16,838.54 is: 23,236.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,986 : 42,759.51 = 16,838.54 : x
  2. Step 2: Convert to fraction form
    30,986/42,759.51 = 16,838.54/x
  3. Step 3: Cross multiply
    30,986x = 42,759.51 × 16,838.54
  4. Step 4: Simplify right side
    30,986x = 720,007,719.52
  5. Step 5: Solve for x
    x = 720,007,719.52/30,986
  6. Step 6: Final answer
    x = 23,236.55

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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.