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Finding the Fourth Proportional to 7,743.57, 11,673.69 and 7,242.45

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Solution

The fourth proportional to 7,743.57, 11,673.69 and 7,242.45 is: 10,918.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.57 : 11,673.69 = 7,242.45 : x
  2. Step 2: Convert to fraction form
    7,743.57/11,673.69 = 7,242.45/x
  3. Step 3: Cross multiply
    7,743.57x = 11,673.69 × 7,242.45
  4. Step 4: Simplify right side
    7,743.57x = 84,546,116.14
  5. Step 5: Solve for x
    x = 84,546,116.14/7,743.57
  6. Step 6: Final answer
    x = 10,918.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.