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Finding the Fourth Proportional to 30,671.25, 42,321.04 and 17,240.64

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Solution

The fourth proportional to 30,671.25, 42,321.04 and 17,240.64 is: 23,789.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,671.25 : 42,321.04 = 17,240.64 : x
  2. Step 2: Convert to fraction form
    30,671.25/42,321.04 = 17,240.64/x
  3. Step 3: Cross multiply
    30,671.25x = 42,321.04 × 17,240.64
  4. Step 4: Simplify right side
    30,671.25x = 729,641,815.07
  5. Step 5: Solve for x
    x = 729,641,815.07/30,671.25
  6. Step 6: Final answer
    x = 23,789.11

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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.