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Finding the Fourth Proportional to 8,832.72, 12,187.80 and 5,106

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Solution

The fourth proportional to 8,832.72, 12,187.80 and 5,106 is: 7,045.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.72 : 12,187.80 = 5,106 : x
  2. Step 2: Convert to fraction form
    8,832.72/12,187.80 = 5,106/x
  3. Step 3: Cross multiply
    8,832.72x = 12,187.80 × 5,106
  4. Step 4: Simplify right side
    8,832.72x = 62,230,906.80
  5. Step 5: Solve for x
    x = 62,230,906.80/8,832.72
  6. Step 6: Final answer
    x = 7,045.50

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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.