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Finding the Fourth Proportional to 8,120, 12,178.56 and 2,277.12

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Solution

The fourth proportional to 8,120, 12,178.56 and 2,277.12 is: 3,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120 : 12,178.56 = 2,277.12 : x
  2. Step 2: Convert to fraction form
    8,120/12,178.56 = 2,277.12/x
  3. Step 3: Cross multiply
    8,120x = 12,178.56 × 2,277.12
  4. Step 4: Simplify right side
    8,120x = 27,732,042.55
  5. Step 5: Solve for x
    x = 27,732,042.55/8,120
  6. Step 6: Final answer
    x = 3,415.28

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1.5x scale

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.