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Finding the Fourth Proportional to 11,485, 17,223.80 and 4,464.52

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Solution

The fourth proportional to 11,485, 17,223.80 and 4,464.52 is: 6,695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,485 : 17,223.80 = 4,464.52 : x
  2. Step 2: Convert to fraction form
    11,485/17,223.80 = 4,464.52/x
  3. Step 3: Cross multiply
    11,485x = 17,223.80 × 4,464.52
  4. Step 4: Simplify right side
    11,485x = 76,895,999.58
  5. Step 5: Solve for x
    x = 76,895,999.58/11,485
  6. Step 6: Final answer
    x = 6,695.34

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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.