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Finding the Fourth Proportional to 8,615.34, 11,896.16 and 7,022.22

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Solution

The fourth proportional to 8,615.34, 11,896.16 and 7,022.22 is: 9,696.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,615.34 : 11,896.16 = 7,022.22 : x
  2. Step 2: Convert to fraction form
    8,615.34/11,896.16 = 7,022.22/x
  3. Step 3: Cross multiply
    8,615.34x = 11,896.16 × 7,022.22
  4. Step 4: Simplify right side
    8,615.34x = 83,537,452.68
  5. Step 5: Solve for x
    x = 83,537,452.68/8,615.34
  6. Step 6: Final answer
    x = 9,696.36

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.