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Finding the Fourth Proportional to 8,078.94, 12,114.09 and 4,748.36

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Solution

The fourth proportional to 8,078.94, 12,114.09 and 4,748.36 is: 7,119.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.94 : 12,114.09 = 4,748.36 : x
  2. Step 2: Convert to fraction form
    8,078.94/12,114.09 = 4,748.36/x
  3. Step 3: Cross multiply
    8,078.94x = 12,114.09 × 4,748.36
  4. Step 4: Simplify right side
    8,078.94x = 57,521,999.82
  5. Step 5: Solve for x
    x = 57,521,999.82/8,078.94
  6. Step 6: Final answer
    x = 7,119.99

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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.