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Finding the Fourth Proportional to 30,662.88, 42,314.52 and 17,234.40

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Solution

The fourth proportional to 30,662.88, 42,314.52 and 17,234.40 is: 23,783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,662.88 : 42,314.52 = 17,234.40 : x
  2. Step 2: Convert to fraction form
    30,662.88/42,314.52 = 17,234.40/x
  3. Step 3: Cross multiply
    30,662.88x = 42,314.52 × 17,234.40
  4. Step 4: Simplify right side
    30,662.88x = 729,265,363.49
  5. Step 5: Solve for x
    x = 729,265,363.49/30,662.88
  6. Step 6: Final answer
    x = 23,783.33

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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.