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Finding the Fourth Proportional to 12,647.62, 18,965.58 and 7,384.17

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Solution

The fourth proportional to 12,647.62, 18,965.58 and 7,384.17 is: 11,072.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.62 : 18,965.58 = 7,384.17 : x
  2. Step 2: Convert to fraction form
    12,647.62/18,965.58 = 7,384.17/x
  3. Step 3: Cross multiply
    12,647.62x = 18,965.58 × 7,384.17
  4. Step 4: Simplify right side
    12,647.62x = 140,045,037.92
  5. Step 5: Solve for x
    x = 140,045,037.92/12,647.62
  6. Step 6: Final answer
    x = 11,072.84

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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.