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Finding the Fourth Proportional to 9,661.08, 13,325.94 and 7,561.56

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Solution

The fourth proportional to 9,661.08, 13,325.94 and 7,561.56 is: 10,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.08 : 13,325.94 = 7,561.56 : x
  2. Step 2: Convert to fraction form
    9,661.08/13,325.94 = 7,561.56/x
  3. Step 3: Cross multiply
    9,661.08x = 13,325.94 × 7,561.56
  4. Step 4: Simplify right side
    9,661.08x = 100,764,894.87
  5. Step 5: Solve for x
    x = 100,764,894.87/9,661.08
  6. Step 6: Final answer
    x = 10,429.98

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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.