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Finding the Fourth Proportional to 9,286.70, 12,803.00 and 6,629.49

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Solution

The fourth proportional to 9,286.70, 12,803.00 and 6,629.49 is: 9,139.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.70 : 12,803.00 = 6,629.49 : x
  2. Step 2: Convert to fraction form
    9,286.70/12,803.00 = 6,629.49/x
  3. Step 3: Cross multiply
    9,286.70x = 12,803.00 × 6,629.49
  4. Step 4: Simplify right side
    9,286.70x = 84,877,327.32
  5. Step 5: Solve for x
    x = 84,877,327.32/9,286.70
  6. Step 6: Final answer
    x = 9,139.67

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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.