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Finding the Fourth Proportional to 11,382, 17,075.54 and 3,485.62

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Solution

The fourth proportional to 11,382, 17,075.54 and 3,485.62 is: 5,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382 : 17,075.54 = 3,485.62 : x
  2. Step 2: Convert to fraction form
    11,382/17,075.54 = 3,485.62/x
  3. Step 3: Cross multiply
    11,382x = 17,075.54 × 3,485.62
  4. Step 4: Simplify right side
    11,382x = 59,518,843.73
  5. Step 5: Solve for x
    x = 59,518,843.73/11,382
  6. Step 6: Final answer
    x = 5,229.21

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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.