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Finding the Fourth Proportional to 28,740, 39,663.48 and 16,165.68

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Solution

The fourth proportional to 28,740, 39,663.48 and 16,165.68 is: 22,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,740 : 39,663.48 = 16,165.68 : x
  2. Step 2: Convert to fraction form
    28,740/39,663.48 = 16,165.68/x
  3. Step 3: Cross multiply
    28,740x = 39,663.48 × 16,165.68
  4. Step 4: Simplify right side
    28,740x = 641,187,125.37
  5. Step 5: Solve for x
    x = 641,187,125.37/28,740
  6. Step 6: Final answer
    x = 22,309.92

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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.