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Finding the Fourth Proportional to 7,879.23, 11,812.47 and 2,948.15

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Solution

The fourth proportional to 7,879.23, 11,812.47 and 2,948.15 is: 4,419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.23 : 11,812.47 = 2,948.15 : x
  2. Step 2: Convert to fraction form
    7,879.23/11,812.47 = 2,948.15/x
  3. Step 3: Cross multiply
    7,879.23x = 11,812.47 × 2,948.15
  4. Step 4: Simplify right side
    7,879.23x = 34,824,918.69
  5. Step 5: Solve for x
    x = 34,824,918.69/7,879.23
  6. Step 6: Final answer
    x = 4,419.84

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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.