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Finding the Fourth Proportional to 7,940.76, 11,918.28 and 4,246.15

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Solution

The fourth proportional to 7,940.76, 11,918.28 and 4,246.15 is: 6,373.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.76 : 11,918.28 = 4,246.15 : x
  2. Step 2: Convert to fraction form
    7,940.76/11,918.28 = 4,246.15/x
  3. Step 3: Cross multiply
    7,940.76x = 11,918.28 × 4,246.15
  4. Step 4: Simplify right side
    7,940.76x = 50,606,774.83
  5. Step 5: Solve for x
    x = 50,606,774.83/7,940.76
  6. Step 6: Final answer
    x = 6,373.04

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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.