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Finding the Fourth Proportional to 30,809.94, 42,512.88 and 17,380.93

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Solution

The fourth proportional to 30,809.94, 42,512.88 and 17,380.93 is: 23,982.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,809.94 : 42,512.88 = 17,380.93 : x
  2. Step 2: Convert to fraction form
    30,809.94/42,512.88 = 17,380.93/x
  3. Step 3: Cross multiply
    30,809.94x = 42,512.88 × 17,380.93
  4. Step 4: Simplify right side
    30,809.94x = 738,913,283.33
  5. Step 5: Solve for x
    x = 738,913,283.33/30,809.94
  6. Step 6: Final answer
    x = 23,982.95

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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.