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Finding the Fourth Proportional to 30,276.50, 41,781.75 and 17,028.50

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Solution

The fourth proportional to 30,276.50, 41,781.75 and 17,028.50 is: 23,499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,276.50 : 41,781.75 = 17,028.50 : x
  2. Step 2: Convert to fraction form
    30,276.50/41,781.75 = 17,028.50/x
  3. Step 3: Cross multiply
    30,276.50x = 41,781.75 × 17,028.50
  4. Step 4: Simplify right side
    30,276.50x = 711,480,529.88
  5. Step 5: Solve for x
    x = 711,480,529.88/30,276.50
  6. Step 6: Final answer
    x = 23,499.43

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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.