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Finding the Fourth Proportional to 51,470.40, 71,028.36 and 28,809

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Solution

The fourth proportional to 51,470.40, 71,028.36 and 28,809 is: 39,755.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,470.40 : 71,028.36 = 28,809 : x
  2. Step 2: Convert to fraction form
    51,470.40/71,028.36 = 28,809/x
  3. Step 3: Cross multiply
    51,470.40x = 71,028.36 × 28,809
  4. Step 4: Simplify right side
    51,470.40x = 2,046,256,023.24
  5. Step 5: Solve for x
    x = 2,046,256,023.24/51,470.40
  6. Step 6: Final answer
    x = 39,755.98

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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.