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Finding the Fourth Proportional to 11,805.22, 17,711.52 and 7,416.64

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Solution

The fourth proportional to 11,805.22, 17,711.52 and 7,416.64 is: 11,127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.22 : 17,711.52 = 7,416.64 : x
  2. Step 2: Convert to fraction form
    11,805.22/17,711.52 = 7,416.64/x
  3. Step 3: Cross multiply
    11,805.22x = 17,711.52 × 7,416.64
  4. Step 4: Simplify right side
    11,805.22x = 131,359,967.69
  5. Step 5: Solve for x
    x = 131,359,967.69/11,805.22
  6. Step 6: Final answer
    x = 11,127.28

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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.