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Finding the Fourth Proportional to 7,978.36, 11,960.10 and 2,709.77

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Solution

The fourth proportional to 7,978.36, 11,960.10 and 2,709.77 is: 4,062.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.36 : 11,960.10 = 2,709.77 : x
  2. Step 2: Convert to fraction form
    7,978.36/11,960.10 = 2,709.77/x
  3. Step 3: Cross multiply
    7,978.36x = 11,960.10 × 2,709.77
  4. Step 4: Simplify right side
    7,978.36x = 32,409,120.18
  5. Step 5: Solve for x
    x = 32,409,120.18/7,978.36
  6. Step 6: Final answer
    x = 4,062.13

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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.