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Finding the Fourth Proportional to 7,457, 11,185.59 and 3,353

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Solution

The fourth proportional to 7,457, 11,185.59 and 3,353 is: 5,029.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457 : 11,185.59 = 3,353 : x
  2. Step 2: Convert to fraction form
    7,457/11,185.59 = 3,353/x
  3. Step 3: Cross multiply
    7,457x = 11,185.59 × 3,353
  4. Step 4: Simplify right side
    7,457x = 37,505,283.27
  5. Step 5: Solve for x
    x = 37,505,283.27/7,457
  6. Step 6: Final answer
    x = 5,029.54

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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.