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Finding the Fourth Proportional to 11,496.80, 17,222.40 and 9,020

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Solution

The fourth proportional to 11,496.80, 17,222.40 and 9,020 is: 13,512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.80 : 17,222.40 = 9,020 : x
  2. Step 2: Convert to fraction form
    11,496.80/17,222.40 = 9,020/x
  3. Step 3: Cross multiply
    11,496.80x = 17,222.40 × 9,020
  4. Step 4: Simplify right side
    11,496.80x = 155,346,048
  5. Step 5: Solve for x
    x = 155,346,048/11,496.80
  6. Step 6: Final answer
    x = 13,512.11

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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.