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Finding the Fourth Proportional to 51,652, 71,279.76 and 28,100

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Solution

The fourth proportional to 51,652, 71,279.76 and 28,100 is: 38,778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,652 : 71,279.76 = 28,100 : x
  2. Step 2: Convert to fraction form
    51,652/71,279.76 = 28,100/x
  3. Step 3: Cross multiply
    51,652x = 71,279.76 × 28,100
  4. Step 4: Simplify right side
    51,652x = 2,002,961,256.00
  5. Step 5: Solve for x
    x = 2,002,961,256.00/51,652
  6. Step 6: Final answer
    x = 38,778.00

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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.