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Finding the Fourth Proportional to 9,109, 13,662.28 and 3,558.48

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Solution

The fourth proportional to 9,109, 13,662.28 and 3,558.48 is: 5,337.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109 : 13,662.28 = 3,558.48 : x
  2. Step 2: Convert to fraction form
    9,109/13,662.28 = 3,558.48/x
  3. Step 3: Cross multiply
    9,109x = 13,662.28 × 3,558.48
  4. Step 4: Simplify right side
    9,109x = 48,616,950.13
  5. Step 5: Solve for x
    x = 48,616,950.13/9,109
  6. Step 6: Final answer
    x = 5,337.24

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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.