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Finding the Fourth Proportional to 51,727, 71,383.26 and 28,175

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Solution

The fourth proportional to 51,727, 71,383.26 and 28,175 is: 38,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,727 : 71,383.26 = 28,175 : x
  2. Step 2: Convert to fraction form
    51,727/71,383.26 = 28,175/x
  3. Step 3: Cross multiply
    51,727x = 71,383.26 × 28,175
  4. Step 4: Simplify right side
    51,727x = 2,011,223,350.50
  5. Step 5: Solve for x
    x = 2,011,223,350.50/51,727
  6. Step 6: Final answer
    x = 38,881.50

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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.