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Finding the Fourth Proportional to 11,588.51, 15,990.72 and 8,230.12

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Solution

The fourth proportional to 11,588.51, 15,990.72 and 8,230.12 is: 11,356.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.51 : 15,990.72 = 8,230.12 : x
  2. Step 2: Convert to fraction form
    11,588.51/15,990.72 = 8,230.12/x
  3. Step 3: Cross multiply
    11,588.51x = 15,990.72 × 8,230.12
  4. Step 4: Simplify right side
    11,588.51x = 131,605,473.65
  5. Step 5: Solve for x
    x = 131,605,473.65/11,588.51
  6. Step 6: Final answer
    x = 11,356.55

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Half scale
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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.