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Finding the Fourth Proportional to 11,665.92, 17,564.64 and 10,287.84

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Solution

The fourth proportional to 11,665.92, 17,564.64 and 10,287.84 is: 15,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.92 : 17,564.64 = 10,287.84 : x
  2. Step 2: Convert to fraction form
    11,665.92/17,564.64 = 10,287.84/x
  3. Step 3: Cross multiply
    11,665.92x = 17,564.64 × 10,287.84
  4. Step 4: Simplify right side
    11,665.92x = 180,702,205.98
  5. Step 5: Solve for x
    x = 180,702,205.98/11,665.92
  6. Step 6: Final answer
    x = 15,489.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.