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Finding the Fourth Proportional to 28,756, 39,682.48 and 16,009.28

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Solution

The fourth proportional to 28,756, 39,682.48 and 16,009.28 is: 22,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,756 : 39,682.48 = 16,009.28 : x
  2. Step 2: Convert to fraction form
    28,756/39,682.48 = 16,009.28/x
  3. Step 3: Cross multiply
    28,756x = 39,682.48 × 16,009.28
  4. Step 4: Simplify right side
    28,756x = 635,287,933.41
  5. Step 5: Solve for x
    x = 635,287,933.41/28,756
  6. Step 6: Final answer
    x = 22,092.36

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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.