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Finding the Fourth Proportional to 28,983, 39,997.02 and 15,735

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Solution

The fourth proportional to 28,983, 39,997.02 and 15,735 is: 21,714.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,983 : 39,997.02 = 15,735 : x
  2. Step 2: Convert to fraction form
    28,983/39,997.02 = 15,735/x
  3. Step 3: Cross multiply
    28,983x = 39,997.02 × 15,735
  4. Step 4: Simplify right side
    28,983x = 629,353,109.70
  5. Step 5: Solve for x
    x = 629,353,109.70/28,983
  6. Step 6: Final answer
    x = 21,714.56

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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.