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Finding the Fourth Proportional to 14,391.49, 19,855.69 and 8,102.65

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Solution

The fourth proportional to 14,391.49, 19,855.69 and 8,102.65 is: 11,179.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,391.49 : 19,855.69 = 8,102.65 : x
  2. Step 2: Convert to fraction form
    14,391.49/19,855.69 = 8,102.65/x
  3. Step 3: Cross multiply
    14,391.49x = 19,855.69 × 8,102.65
  4. Step 4: Simplify right side
    14,391.49x = 160,883,706.58
  5. Step 5: Solve for x
    x = 160,883,706.58/14,391.49
  6. Step 6: Final answer
    x = 11,179.09

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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.