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Finding the Fourth Proportional to 8,305, 11,459.78 and 4,767.56

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Solution

The fourth proportional to 8,305, 11,459.78 and 4,767.56 is: 6,578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305 : 11,459.78 = 4,767.56 : x
  2. Step 2: Convert to fraction form
    8,305/11,459.78 = 4,767.56/x
  3. Step 3: Cross multiply
    8,305x = 11,459.78 × 4,767.56
  4. Step 4: Simplify right side
    8,305x = 54,635,188.74
  5. Step 5: Solve for x
    x = 54,635,188.74/8,305
  6. Step 6: Final answer
    x = 6,578.59

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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.