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Finding the Fourth Proportional to 17,277.40, 25,916.10 and 7,917.40

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Solution

The fourth proportional to 17,277.40, 25,916.10 and 7,917.40 is: 11,876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,277.40 : 25,916.10 = 7,917.40 : x
  2. Step 2: Convert to fraction form
    17,277.40/25,916.10 = 7,917.40/x
  3. Step 3: Cross multiply
    17,277.40x = 25,916.10 × 7,917.40
  4. Step 4: Simplify right side
    17,277.40x = 205,188,130.14
  5. Step 5: Solve for x
    x = 205,188,130.14/17,277.40
  6. Step 6: Final answer
    x = 11,876.10

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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.