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Finding the Fourth Proportional to 9,949, 13,728.72 and 5,472.94

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Solution

The fourth proportional to 9,949, 13,728.72 and 5,472.94 is: 7,552.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949 : 13,728.72 = 5,472.94 : x
  2. Step 2: Convert to fraction form
    9,949/13,728.72 = 5,472.94/x
  3. Step 3: Cross multiply
    9,949x = 13,728.72 × 5,472.94
  4. Step 4: Simplify right side
    9,949x = 75,136,460.84
  5. Step 5: Solve for x
    x = 75,136,460.84/9,949
  6. Step 6: Final answer
    x = 7,552.16

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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.