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Finding the Fourth Proportional to 7,930.58, 11,887.77 and 2,732

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Solution

The fourth proportional to 7,930.58, 11,887.77 and 2,732 is: 4,095.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.58 : 11,887.77 = 2,732 : x
  2. Step 2: Convert to fraction form
    7,930.58/11,887.77 = 2,732/x
  3. Step 3: Cross multiply
    7,930.58x = 11,887.77 × 2,732
  4. Step 4: Simplify right side
    7,930.58x = 32,477,387.64
  5. Step 5: Solve for x
    x = 32,477,387.64/7,930.58
  6. Step 6: Final answer
    x = 4,095.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.