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Finding the Fourth Proportional to 9,676, 13,352.88 and 5,260

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Solution

The fourth proportional to 9,676, 13,352.88 and 5,260 is: 7,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676 : 13,352.88 = 5,260 : x
  2. Step 2: Convert to fraction form
    9,676/13,352.88 = 5,260/x
  3. Step 3: Cross multiply
    9,676x = 13,352.88 × 5,260
  4. Step 4: Simplify right side
    9,676x = 70,236,148.80
  5. Step 5: Solve for x
    x = 70,236,148.80/9,676
  6. Step 6: Final answer
    x = 7,258.80

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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.