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Finding the Fourth Proportional to 9,518.92, 14,213.59 and 8,399

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Solution

The fourth proportional to 9,518.92, 14,213.59 and 8,399 is: 12,541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.92 : 14,213.59 = 8,399 : x
  2. Step 2: Convert to fraction form
    9,518.92/14,213.59 = 8,399/x
  3. Step 3: Cross multiply
    9,518.92x = 14,213.59 × 8,399
  4. Step 4: Simplify right side
    9,518.92x = 119,379,942.41
  5. Step 5: Solve for x
    x = 119,379,942.41/9,518.92
  6. Step 6: Final answer
    x = 12,541.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.