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Finding the Fourth Proportional to 28,752, 39,676.96 and 16,005.28

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Solution

The fourth proportional to 28,752, 39,676.96 and 16,005.28 is: 22,086.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,752 : 39,676.96 = 16,005.28 : x
  2. Step 2: Convert to fraction form
    28,752/39,676.96 = 16,005.28/x
  3. Step 3: Cross multiply
    28,752x = 39,676.96 × 16,005.28
  4. Step 4: Simplify right side
    28,752x = 635,040,854.35
  5. Step 5: Solve for x
    x = 635,040,854.35/28,752
  6. Step 6: Final answer
    x = 22,086.84

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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.