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Finding the Fourth Proportional to 17,138.48, 25,710.43 and 7,277.81

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Solution

The fourth proportional to 17,138.48, 25,710.43 and 7,277.81 is: 10,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.48 : 25,710.43 = 7,277.81 : x
  2. Step 2: Convert to fraction form
    17,138.48/25,710.43 = 7,277.81/x
  3. Step 3: Cross multiply
    17,138.48x = 25,710.43 × 7,277.81
  4. Step 4: Simplify right side
    17,138.48x = 187,115,670.64
  5. Step 5: Solve for x
    x = 187,115,670.64/17,138.48
  6. Step 6: Final answer
    x = 10,917.87

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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.