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Finding the Fourth Proportional to 11,655.59, 17,485.20 and 3,866.22

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Solution

The fourth proportional to 11,655.59, 17,485.20 and 3,866.22 is: 5,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.59 : 17,485.20 = 3,866.22 : x
  2. Step 2: Convert to fraction form
    11,655.59/17,485.20 = 3,866.22/x
  3. Step 3: Cross multiply
    11,655.59x = 17,485.20 × 3,866.22
  4. Step 4: Simplify right side
    11,655.59x = 67,601,629.94
  5. Step 5: Solve for x
    x = 67,601,629.94/11,655.59
  6. Step 6: Final answer
    x = 5,799.93

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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.