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Finding the Fourth Proportional to 11,434.15, 17,121.15 and 9,201.08

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Solution

The fourth proportional to 11,434.15, 17,121.15 and 9,201.08 is: 13,777.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.15 : 17,121.15 = 9,201.08 : x
  2. Step 2: Convert to fraction form
    11,434.15/17,121.15 = 9,201.08/x
  3. Step 3: Cross multiply
    11,434.15x = 17,121.15 × 9,201.08
  4. Step 4: Simplify right side
    11,434.15x = 157,533,070.84
  5. Step 5: Solve for x
    x = 157,533,070.84/11,434.15
  6. Step 6: Final answer
    x = 13,777.42

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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.