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Finding the Fourth Proportional to 51,652, 71,276.70 and 28,986.22

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Solution

The fourth proportional to 51,652, 71,276.70 and 28,986.22 is: 39,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,652 : 71,276.70 = 28,986.22 : x
  2. Step 2: Convert to fraction form
    51,652/71,276.70 = 28,986.22/x
  3. Step 3: Cross multiply
    51,652x = 71,276.70 × 28,986.22
  4. Step 4: Simplify right side
    51,652x = 2,066,042,107.07
  5. Step 5: Solve for x
    x = 2,066,042,107.07/51,652
  6. Step 6: Final answer
    x = 39,999.27

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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.