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Finding the Fourth Proportional to 8,501.69, 11,728.69 and 5,309.44

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Solution

The fourth proportional to 8,501.69, 11,728.69 and 5,309.44 is: 7,324.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,501.69 : 11,728.69 = 5,309.44 : x
  2. Step 2: Convert to fraction form
    8,501.69/11,728.69 = 5,309.44/x
  3. Step 3: Cross multiply
    8,501.69x = 11,728.69 × 5,309.44
  4. Step 4: Simplify right side
    8,501.69x = 62,272,799.21
  5. Step 5: Solve for x
    x = 62,272,799.21/8,501.69
  6. Step 6: Final answer
    x = 7,324.75

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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.