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Finding the Fourth Proportional to 30,662.58, 42,318 and 17,234.40

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Solution

The fourth proportional to 30,662.58, 42,318 and 17,234.40 is: 23,785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,662.58 : 42,318 = 17,234.40 : x
  2. Step 2: Convert to fraction form
    30,662.58/42,318 = 17,234.40/x
  3. Step 3: Cross multiply
    30,662.58x = 42,318 × 17,234.40
  4. Step 4: Simplify right side
    30,662.58x = 729,325,339.20
  5. Step 5: Solve for x
    x = 729,325,339.20/30,662.58
  6. Step 6: Final answer
    x = 23,785.52

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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.