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Finding the Fourth Proportional to 11,969.32, 17,955.22 and 4,580

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Solution

The fourth proportional to 11,969.32, 17,955.22 and 4,580 is: 6,870.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.32 : 17,955.22 = 4,580 : x
  2. Step 2: Convert to fraction form
    11,969.32/17,955.22 = 4,580/x
  3. Step 3: Cross multiply
    11,969.32x = 17,955.22 × 4,580
  4. Step 4: Simplify right side
    11,969.32x = 82,234,907.60
  5. Step 5: Solve for x
    x = 82,234,907.60/11,969.32
  6. Step 6: Final answer
    x = 6,870.47

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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.