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Finding the Fourth Proportional to 12,446.61, 18,626.04 and 7,768.82

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Solution

The fourth proportional to 12,446.61, 18,626.04 and 7,768.82 is: 11,625.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.61 : 18,626.04 = 7,768.82 : x
  2. Step 2: Convert to fraction form
    12,446.61/18,626.04 = 7,768.82/x
  3. Step 3: Cross multiply
    12,446.61x = 18,626.04 × 7,768.82
  4. Step 4: Simplify right side
    12,446.61x = 144,702,258.94
  5. Step 5: Solve for x
    x = 144,702,258.94/12,446.61
  6. Step 6: Final answer
    x = 11,625.84

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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.