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Finding the Fourth Proportional to 14,109, 21,168.24 and 9,896.64

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Solution

The fourth proportional to 14,109, 21,168.24 and 9,896.64 is: 14,848.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109 : 21,168.24 = 9,896.64 : x
  2. Step 2: Convert to fraction form
    14,109/21,168.24 = 9,896.64/x
  3. Step 3: Cross multiply
    14,109x = 21,168.24 × 9,896.64
  4. Step 4: Simplify right side
    14,109x = 209,494,450.71
  5. Step 5: Solve for x
    x = 209,494,450.71/14,109
  6. Step 6: Final answer
    x = 14,848.28

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Double scale
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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.