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Finding the Fourth Proportional to 7,211.88, 9,969.30 and 7,145.64

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Solution

The fourth proportional to 7,211.88, 9,969.30 and 7,145.64 is: 9,877.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.88 : 9,969.30 = 7,145.64 : x
  2. Step 2: Convert to fraction form
    7,211.88/9,969.30 = 7,145.64/x
  3. Step 3: Cross multiply
    7,211.88x = 9,969.30 × 7,145.64
  4. Step 4: Simplify right side
    7,211.88x = 71,237,028.85
  5. Step 5: Solve for x
    x = 71,237,028.85/7,211.88
  6. Step 6: Final answer
    x = 9,877.73

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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.