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Finding the Fourth Proportional to 9,716.88, 13,401 and 8,211.72

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Solution

The fourth proportional to 9,716.88, 13,401 and 8,211.72 is: 11,325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.88 : 13,401 = 8,211.72 : x
  2. Step 2: Convert to fraction form
    9,716.88/13,401 = 8,211.72/x
  3. Step 3: Cross multiply
    9,716.88x = 13,401 × 8,211.72
  4. Step 4: Simplify right side
    9,716.88x = 110,045,259.72
  5. Step 5: Solve for x
    x = 110,045,259.72/9,716.88
  6. Step 6: Final answer
    x = 11,325.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.