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Finding the Fourth Proportional to 7,978.25, 11,007.97 and 4,790.53

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Solution

The fourth proportional to 7,978.25, 11,007.97 and 4,790.53 is: 6,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.25 : 11,007.97 = 4,790.53 : x
  2. Step 2: Convert to fraction form
    7,978.25/11,007.97 = 4,790.53/x
  3. Step 3: Cross multiply
    7,978.25x = 11,007.97 × 4,790.53
  4. Step 4: Simplify right side
    7,978.25x = 52,734,010.52
  5. Step 5: Solve for x
    x = 52,734,010.52/7,978.25
  6. Step 6: Final answer
    x = 6,609.72

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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.