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Finding the Fourth Proportional to 9,711.77, 13,453.00 and 9,514.94

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Solution

The fourth proportional to 9,711.77, 13,453.00 and 9,514.94 is: 13,180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.77 : 13,453.00 = 9,514.94 : x
  2. Step 2: Convert to fraction form
    9,711.77/13,453.00 = 9,514.94/x
  3. Step 3: Cross multiply
    9,711.77x = 13,453.00 × 9,514.94
  4. Step 4: Simplify right side
    9,711.77x = 128,004,372.98
  5. Step 5: Solve for x
    x = 128,004,372.98/9,711.77
  6. Step 6: Final answer
    x = 13,180.34

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.