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Finding the Fourth Proportional to 11,461.16, 17,162.54 and 7,553.72

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Solution

The fourth proportional to 11,461.16, 17,162.54 and 7,553.72 is: 11,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.16 : 17,162.54 = 7,553.72 : x
  2. Step 2: Convert to fraction form
    11,461.16/17,162.54 = 7,553.72/x
  3. Step 3: Cross multiply
    11,461.16x = 17,162.54 × 7,553.72
  4. Step 4: Simplify right side
    11,461.16x = 129,641,021.65
  5. Step 5: Solve for x
    x = 129,641,021.65/11,461.16
  6. Step 6: Final answer
    x = 11,311.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.