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Finding the Fourth Proportional to 7,965.21, 10,966.88 and 7,227.09

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Solution

The fourth proportional to 7,965.21, 10,966.88 and 7,227.09 is: 9,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.21 : 10,966.88 = 7,227.09 : x
  2. Step 2: Convert to fraction form
    7,965.21/10,966.88 = 7,227.09/x
  3. Step 3: Cross multiply
    7,965.21x = 10,966.88 × 7,227.09
  4. Step 4: Simplify right side
    7,965.21x = 79,258,628.78
  5. Step 5: Solve for x
    x = 79,258,628.78/7,965.21
  6. Step 6: Final answer
    x = 9,950.60

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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.