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Finding the Fourth Proportional to 11,605.68, 17,415 and 5,767.92

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Solution

The fourth proportional to 11,605.68, 17,415 and 5,767.92 is: 8,655.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.68 : 17,415 = 5,767.92 : x
  2. Step 2: Convert to fraction form
    11,605.68/17,415 = 5,767.92/x
  3. Step 3: Cross multiply
    11,605.68x = 17,415 × 5,767.92
  4. Step 4: Simplify right side
    11,605.68x = 100,448,326.80
  5. Step 5: Solve for x
    x = 100,448,326.80/11,605.68
  6. Step 6: Final answer
    x = 8,655.10

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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.