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Finding the Fourth Proportional to 9,716.85, 14,607.76 and 7,974.77

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Solution

The fourth proportional to 9,716.85, 14,607.76 and 7,974.77 is: 11,988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.85 : 14,607.76 = 7,974.77 : x
  2. Step 2: Convert to fraction form
    9,716.85/14,607.76 = 7,974.77/x
  3. Step 3: Cross multiply
    9,716.85x = 14,607.76 × 7,974.77
  4. Step 4: Simplify right side
    9,716.85x = 116,493,435.09
  5. Step 5: Solve for x
    x = 116,493,435.09/9,716.85
  6. Step 6: Final answer
    x = 11,988.81

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1.5x scale

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.