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Finding the Fourth Proportional to 12,477.68, 17,215.07 and 8,230.85

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Solution

The fourth proportional to 12,477.68, 17,215.07 and 8,230.85 is: 11,355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.68 : 17,215.07 = 8,230.85 : x
  2. Step 2: Convert to fraction form
    12,477.68/17,215.07 = 8,230.85/x
  3. Step 3: Cross multiply
    12,477.68x = 17,215.07 × 8,230.85
  4. Step 4: Simplify right side
    12,477.68x = 141,694,658.91
  5. Step 5: Solve for x
    x = 141,694,658.91/12,477.68
  6. Step 6: Final answer
    x = 11,355.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.