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Finding the Fourth Proportional to 9,609.05, 14,318.05 and 8,561

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Solution

The fourth proportional to 9,609.05, 14,318.05 and 8,561 is: 12,756.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.05 : 14,318.05 = 8,561 : x
  2. Step 2: Convert to fraction form
    9,609.05/14,318.05 = 8,561/x
  3. Step 3: Cross multiply
    9,609.05x = 14,318.05 × 8,561
  4. Step 4: Simplify right side
    9,609.05x = 122,576,826.05
  5. Step 5: Solve for x
    x = 122,576,826.05/9,609.05
  6. Step 6: Final answer
    x = 12,756.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.