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Finding the Fourth Proportional to 8,513, 11,739.55 and 8,020.92

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Solution

The fourth proportional to 8,513, 11,739.55 and 8,020.92 is: 11,060.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513 : 11,739.55 = 8,020.92 : x
  2. Step 2: Convert to fraction form
    8,513/11,739.55 = 8,020.92/x
  3. Step 3: Cross multiply
    8,513x = 11,739.55 × 8,020.92
  4. Step 4: Simplify right side
    8,513x = 94,161,991.39
  5. Step 5: Solve for x
    x = 94,161,991.39/8,513
  6. Step 6: Final answer
    x = 11,060.96

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Half scale
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Double scale
Find fourth proportional to 8,514, 11,740.93 and 8,021.92
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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.