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Finding the Fourth Proportional to 11,655.84, 17,485.54 and 3,866.48

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Solution

The fourth proportional to 11,655.84, 17,485.54 and 3,866.48 is: 5,800.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.84 : 17,485.54 = 3,866.48 : x
  2. Step 2: Convert to fraction form
    11,655.84/17,485.54 = 3,866.48/x
  3. Step 3: Cross multiply
    11,655.84x = 17,485.54 × 3,866.48
  4. Step 4: Simplify right side
    11,655.84x = 67,607,490.70
  5. Step 5: Solve for x
    x = 67,607,490.70/11,655.84
  6. Step 6: Final answer
    x = 5,800.31

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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.