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Finding the Fourth Proportional to 11,564.64, 17,375.49 and 7,406.46

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Solution

The fourth proportional to 11,564.64, 17,375.49 and 7,406.46 is: 11,127.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.64 : 17,375.49 = 7,406.46 : x
  2. Step 2: Convert to fraction form
    11,564.64/17,375.49 = 7,406.46/x
  3. Step 3: Cross multiply
    11,564.64x = 17,375.49 × 7,406.46
  4. Step 4: Simplify right side
    11,564.64x = 128,690,871.67
  5. Step 5: Solve for x
    x = 128,690,871.67/11,564.64
  6. Step 6: Final answer
    x = 11,127.96

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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.