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Finding the Fourth Proportional to 8,290.48, 11,435.16 and 7,936.24

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Solution

The fourth proportional to 8,290.48, 11,435.16 and 7,936.24 is: 10,946.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.48 : 11,435.16 = 7,936.24 : x
  2. Step 2: Convert to fraction form
    8,290.48/11,435.16 = 7,936.24/x
  3. Step 3: Cross multiply
    8,290.48x = 11,435.16 × 7,936.24
  4. Step 4: Simplify right side
    8,290.48x = 90,752,174.20
  5. Step 5: Solve for x
    x = 90,752,174.20/8,290.48
  6. Step 6: Final answer
    x = 10,946.55

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Double scale
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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.