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Finding the Fourth Proportional to 7,457, 11,185.50 and 2,263.28

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Solution

The fourth proportional to 7,457, 11,185.50 and 2,263.28 is: 3,394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457 : 11,185.50 = 2,263.28 : x
  2. Step 2: Convert to fraction form
    7,457/11,185.50 = 2,263.28/x
  3. Step 3: Cross multiply
    7,457x = 11,185.50 × 2,263.28
  4. Step 4: Simplify right side
    7,457x = 25,315,918.44
  5. Step 5: Solve for x
    x = 25,315,918.44/7,457
  6. Step 6: Final answer
    x = 3,394.92

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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.