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Finding the Fourth Proportional to 11,778.56, 16,260.96 and 7,064

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Solution

The fourth proportional to 11,778.56, 16,260.96 and 7,064 is: 9,752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.56 : 16,260.96 = 7,064 : x
  2. Step 2: Convert to fraction form
    11,778.56/16,260.96 = 7,064/x
  3. Step 3: Cross multiply
    11,778.56x = 16,260.96 × 7,064
  4. Step 4: Simplify right side
    11,778.56x = 114,867,421.44
  5. Step 5: Solve for x
    x = 114,867,421.44/11,778.56
  6. Step 6: Final answer
    x = 9,752.25

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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.