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Finding the Fourth Proportional to 11,715.21, 17,546.31 and 9,064.08

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Solution

The fourth proportional to 11,715.21, 17,546.31 and 9,064.08 is: 13,575.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.21 : 17,546.31 = 9,064.08 : x
  2. Step 2: Convert to fraction form
    11,715.21/17,546.31 = 9,064.08/x
  3. Step 3: Cross multiply
    11,715.21x = 17,546.31 × 9,064.08
  4. Step 4: Simplify right side
    11,715.21x = 159,041,157.54
  5. Step 5: Solve for x
    x = 159,041,157.54/11,715.21
  6. Step 6: Final answer
    x = 13,575.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.