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Finding the Fourth Proportional to 8,178.48, 12,238.44 and 7,629.24

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Solution

The fourth proportional to 8,178.48, 12,238.44 and 7,629.24 is: 11,416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.48 : 12,238.44 = 7,629.24 : x
  2. Step 2: Convert to fraction form
    8,178.48/12,238.44 = 7,629.24/x
  3. Step 3: Cross multiply
    8,178.48x = 12,238.44 × 7,629.24
  4. Step 4: Simplify right side
    8,178.48x = 93,369,995.99
  5. Step 5: Solve for x
    x = 93,369,995.99/8,178.48
  6. Step 6: Final answer
    x = 11,416.55

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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.