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Finding the Fourth Proportional to 26,172, 39,265.20 and 7,704

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Solution

The fourth proportional to 26,172, 39,265.20 and 7,704 is: 11,558.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,172 : 39,265.20 = 7,704 : x
  2. Step 2: Convert to fraction form
    26,172/39,265.20 = 7,704/x
  3. Step 3: Cross multiply
    26,172x = 39,265.20 × 7,704
  4. Step 4: Simplify right side
    26,172x = 302,499,100.80
  5. Step 5: Solve for x
    x = 302,499,100.80/26,172
  6. Step 6: Final answer
    x = 11,558.12

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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.