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Finding the Fourth Proportional to 30,661.88, 42,324.92 and 17,919.20

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Solution

The fourth proportional to 30,661.88, 42,324.92 and 17,919.20 is: 24,735.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,661.88 : 42,324.92 = 17,919.20 : x
  2. Step 2: Convert to fraction form
    30,661.88/42,324.92 = 17,919.20/x
  3. Step 3: Cross multiply
    30,661.88x = 42,324.92 × 17,919.20
  4. Step 4: Simplify right side
    30,661.88x = 758,428,706.46
  5. Step 5: Solve for x
    x = 758,428,706.46/30,661.88
  6. Step 6: Final answer
    x = 24,735.23

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1.5x scale

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.