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Finding the Fourth Proportional to 10,728, 16,089.52 and 2,937.44

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Solution

The fourth proportional to 10,728, 16,089.52 and 2,937.44 is: 4,405.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728 : 16,089.52 = 2,937.44 : x
  2. Step 2: Convert to fraction form
    10,728/16,089.52 = 2,937.44/x
  3. Step 3: Cross multiply
    10,728x = 16,089.52 × 2,937.44
  4. Step 4: Simplify right side
    10,728x = 47,261,999.63
  5. Step 5: Solve for x
    x = 47,261,999.63/10,728
  6. Step 6: Final answer
    x = 4,405.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.